From definition ,find derivatives of [tex]a^{x}[/tex]

Answers

Answer 1

Answer:

Step-by-step explanation:

d /d x [ a ^x ]

= d/ d x [ e ^ln ( a ) x ]

= e ^ln ( a ) x ⋅ d /d x [ ln ( a ) x ]

= e ^ln ( a ) x ⋅ ln ( a ) ⋅ d /d x [ x]

= e ^ln (a ) x ln ( a ) ⋅ 1

= ln ( a ) e ^ln ( a ) x

Rewrite/simplify:

= a ^x ln ( a )


Related Questions

What has been the best method for you to learn mathematics?

Answers

Answer: Here are some steps that help you learn and master math quickly:

Engage With the Subject.

Start From the Basics.

Develop Number Sense Rather Than Memorizing.

Have a Goal in Mind.

Answering Practice Questions Is Crucial.

Keep Track of Math Vocabulary.

Tricks and Tips to Learn Math Easily.

Master Problem Solving.

Step-by-step explanation:

Listen carefully to person who teach you to make the lesson catch up in your mind and heart. Then answer in a nice way and think the lesson that teach you about mathematics.

evaluate f(z) for z=7

Answers

F(7) = F7 is the answer

1/2 of a number is three more than 1/5 of the same number. What is the number?

Answers

The answer is 10 because half is 5 and 1/5 is 2. 5-2=3
So 10

Need helppp2/3 (18a - 11) = 1/3 (a + 13)

Answers

Answer: a = 1

its mostly combing, dividing and distributing.

Answer:

the answer is a = 1

Step-by-step explanation:

combine a and 18a and combine 11 and 13

divide and distribute the numbers and then you get your answer

this was kinda and easy problem


2. Which part of the triangle is always directly
opposite the right angle?

Answers

Answer:

So BASically

A triangle has 3 sides

One is the hypotenuese

The other is the Base

and the last one is perpendicular

Step-by-step explanation:directly

opposite the right angle is The HYPOTENUESE

Answer:  Hypotenuse

For any triangle, the longest side is always opposite the largest angle. The largest angle of a right triangle is always the 90 degree angle. If you had any larger angle, then the triangle wouldn't be a right triangle and instead it would be obtuse.

In a right triangle, the longest side is given the special name hypotenuse. The other sides of a right triangle are called the legs.

I need help with my math work​

Answers

Answer: 366 minutes

NEED HELP
what is the range?
|80 - 5x| = 4

Answers

Answer:

please be more specific

A bottle of power drink costs $2.25. Which graph represents the relationship between the number of bottles and the total cost?

Answers

Answer: it’s c

Step-by-step explanation:

edg 2020

Answer:

C-the third picture!!

Step-by-step explanation:

PWEESE HELP!!
To create a graph from an equation, evaluate the function at different ________________________ . Use the input-output pairs to identify and plot ___________________________ on the graph.

Answers

Answer: To create a graph from an equation, evaluate the function at different coordinates. Use the input-output pairs to identify and plot points on the graph.

Step-by-step explanation: Finished the assignment.

The answers to incomplete blanks are -

values of input variablecoordinate input-output pointsWhat is a graph?

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.

Given is to fill in the blanks and complete the statement below -

"To create a graph from an equation, evaluate the function at different _____ . Use the input-output pairs to identify and plot _______on the graph".

The given statement can be completed as follows -

To create a graph from an equation, evaluate the function at different values of input variable . Use the input-output pairs to identify and plot coordinate input-output points on the graph.

Therefore, the answers to incomplete blanks are -

values of input variablecoordinate input-output points

To solve more questions on graphs, visit the link below-

https://brainly.com/question/13298277

#SPJ2

Which statement is true about the following expression?
(2 – 7)(y + 15)
O A.
The expression has 3 factors.
B.
The expression contains no factors.
С.
The expression has 1 factor.
D.
The expression has 5 factors.

Answers

Answer:

the expression has three factors

Step-by-step explanation:

(2-7y)(y+15)

2y+30-7y-105

-5y+30-105

The expression (2 – 7)(y + 15) has 1 factor.

FactorWhat is a factor?

A number or algebraic expression that evenly divides another number or expression, i.e., leaves no remainder, is referred to as a factor.

What is one degree polynomial?

An expression which has the highest power of one of the variable is called one degree or linear polynomial.

Calculate the factor of expression:

The given expression is;

(2 – 7)(y + 15)

As, the expression has variable 'y', which has the highest power of one. It means the expression is a one degree polynomial.

The factor of polynomial is always equal to its degree; here in this case it is one.

Therefore, the expression (2 – 7)(y + 15) has only one factor.

To know more about how to write and evaluate algebraic expression?, here

https://brainly.com/question/4344214

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Celine is 28, celines age is 4 more than 1/3 of drakes age. How old is drake?

Answers

Answer:

Step-by-step explanation:

C = 28

C = 4 + 1/3 D

This means that

28 = 4 + 1/3 D

Subtract 4 from both sides.

24 = 1/3 D

Then to get rid of the fraction, multiply both sides by 3

72 = D

Therefore Drake is 72.

Answer:

72

Step-by-step explanation:

Elijah needed to dig a row along a fence that was 5 feet long. He was able to dig all but 42 inches of the row before dark.

How many inches was he able to dig before dark?

Answers

Answer:

18 inches

Step-by-step explanation:

5x12=60

60-42=18

18 inches is the correct answer

How do I get 8.25 x 6.75 with explanation or picture PLS ASAP

Answers

First you do 825 x 675 which is 556875
So in 8.25 there are 2 decimal places
And same in 6.75
So we add up the decimal places to get 4
And aply to 556875
So answer will be 55.6875

Complete the following equality. 4 days = hours

Answers

Day: 4

Hour: 96

Days Hours

1 Day 24 Hours

2 Days 48 Hours

3 Days 72 Hours

4 Days 96 Hours

Answer:

96 hours

Step-by-step explanation:

each day has 24 hours in one day. If you are trying to find the number of hours in a set number of days, you multiply the number of days by 24.

solve the inequality for u
70 > 3u+13

Answers

Answer:

u<19

Step-by-step explanation:

70 > 3u+13

you subtract 13 to both sides

which will give you 57

then you divide 3 and 57

leaving you of with 19

so your answer will be u<19

Find the equation of the line in slope intercept form

Answers

Answer:

y= 1/3x-3

Step-by-step explanation:

rise /run

-3 is the point you start

Answer:

y = 1/3x - 3

Step-by-step explanation:

First, find the slope

(3, -2)

(0, -3)

-2-(-3) = 1

3 - 0 = 3

Slope = 1/3

Now, find the y intercept

y = mx + b

-2 = 3 * 1/3 + b

-2 = 1 + b

-3 = b

Rewrite the equation

y = 1/3x - 3

Please let me know if I did something wrong!

Which expression is equivalent to −2412+16.15−4?

Answers

Answer:

a respuesta

Step-by-step explanation:ah después a ver más -2399.85

If p(x)=(3x+2)(2x−3), what are the zeros of the polynomial?

x=-23 and x=32

x=23 and x=-32

x=-2 and x=3

x=2 and x=-3

Answers

Answer:

Option A is the correct answer. ; x=-2/3 and x=3/2

Step-by-step explanation:

We have been given that p(x)=(3x+2)(2x−3) is a polynomial.

According to the question's statement, Question asks us to find the zeros of the polynomial.

Let's head to the question in order to get required answer.

p(x)=(3x+2)(2x−3)

=> p(x) = 3x(2x-3) + 2(2x-3)

=> p(x) = 6x² - 9x + 4x - 6

=> p(x) = 6x² - 5x - 6 (This is the standard form for the given polynomial)

Now, We need to find the zeros of the polynomial. So, In order to find its zeros, we need to put p(x).

p(x) = (3x+2)(2x-3)

=> 0 = (3x+2)(2x-3)

=> (3x+2) = 0 or (2x-3) = 0

=> x= -2/3 or x = 3/2

Hence, If p(x)=(3x+2)(2x−3), x = -2/3 & x= 3/2 are the zeros of the polynomial.

( Will give brainliest to whoever answers the question correctly)

Answers

Answer:

The answer is 70

Step-by-step explanation:

Answer:

[tex]\Large \boxed{\sf 70}[/tex]

Step-by-step explanation:

a. Substitute d = 500 in the formula

[tex]\displaystyle s=\sqrt{9.8 \times 500} =70[/tex]

b. As the depth decreases, the speed of the tsunami decreases because both quantities are directly proportional.

Solve for X
X/2≥−4

A. x≥−8
B.x≤−2
C.x≤−8
D.x≥−2

Answers

It’s A, because you have to multiply both sides by 2 to isolate the variable x.

John has a soup recipe that calls for two 14.5-ounce cans of chicken broth. The recipe serves 4 people. He wants to increase the recipe to serve it to a party of 28 people. If John buys chicken broth in 1-quart containers, how many containers does he need?

Answers

Answer:

  6 11/32

Step-by-step explanation:

The two cans of broth used in the recipe total 2·14.5 oz = 29 oz. The number of people John wants to serve is 28/4 = 7 times the number served by one recipe. So, the amount of broth needed is ...

  (29 oz)·7 = 203 oz

Each quart container of broth holds 32 oz, so John will need ...

  (203 oz)/(32 oz/container) = 6 11/32 containers

John needs 6 11/32 containers of broth.

_____

If John must buy the broth, he must buy 7 containers. he will have 21/32 of a container left over after making his soup.

A builder could get 6 sheets of sheetrock for $9. If he bought 12 sheets, how much money would he have spent? sheets 6 12 money 9 x (12)(6) = 6x 108 = 6x 108 = 6x 6 6 18 = x

Answers

Answer:

$18

Step-by-step explanation:

we proceed by first solving for the unit cost of a sheet

then calculate the cost for any number of sheet

We are told that a builder could buy 6 sheets for the cost of $9

this means that one sheet would cost 9/6= $1.5

Now the builder buys 12 sheets

therefore the cost of 12 sheets will be

12*1.5= $18

what decimal is between 4/5 and 5/6

Answers

Answer: .81 or .82

Step-by-step explanation:  

find the compound interest
on Rs 4000 for 30 months at 10% per annum​

Answers

Answer:

Rs. 1076.23

Step-by-step explanation:

The compound interest is given by the formula;

A=P(1+r/n  )^nt

where

A= amount at the elapse of the period

P= principal amount = Rs=4000

r=rate of interest=10% =0.1

n=number of times the interest is applied per time period= 1

t=number of time periods elapsed = 30 months = 30/12 = 2.5 years

Applying the formula;

A=P(1+r/n  )^nt

A=4000( 1+ 0.1/1)^1*2.5

A=4000(1.1)^2.5

A=4000 * 1.2691

A=Rs. 5076.24

Compound interest  will be : 5076.24-4000 = Rs. 1076.23

To determine the number of deer in a forest, a forest ranger tags 280 and releases them back into the forest. Later, 405 deer are caught, out of which 45 of them are tagged. About how many deer are in the forest?

Answers

Answer:

640

Step-by-step explanation:

405-45= 360

360+280=640

Answer:

2520 deer

Step-by-step explanation:

Given

Tagged deer = 280Caught deer = 405Tagged among caught = 45

The ratio of the tagged deer vs total

45 ⇔ 405280 ⇔ x

Solving by cross-multiplication

45x = 405*280x = 405*280/45x = 2520

So there are about 2520 deer in the forest

brainliest if you answer correctly

Answers

The answer should be A

i have a question on ratios​

Answers

Answer:

What is your question?

kostas gets a four year bank loan to buy a new car that is priced at 20,987. after four years Kostas Will have paid the bank it’s total of $22,960. what interest rate did the bank give him if the interest was compounded monthly. Show your work .

Answers

Answer:

r = 2.04%

Step-by-step explanation:

r = n{(A/P)^1/nt - 1}

Where,

r = interest rate = ?

n = number of periods = 12

A = future value = $22,960

P = present value = $20,960

t = time = 4 years

r = n{(A/P)^1/nt - 1}

r = 12{(22,960/20,987)^1/12*4 - 1}

= 12{(1.09)^1/48 - 1}

= 12{(1.09)^0.02 - 1}

= 12 (1.0017 - 1)

= 12(0.0017)

= 0.0204

r = 0.0204 × 100

= 2.04%

r = 2.04%

Name an irrational number ( in radical form ) located between 7 and 8. Explain your answer.

Answers

Answer:

[tex]\sqrt{59}[/tex]

Step-by-step explanation:

7^2 is 49 and 8^2 is 64, which means the square root of any number between 49 and 64 (exclusive) will be in between 7 and 8, and it's also going to be irrational, because it's not a perfect square.

One number between 49 and 64 is 59, so [tex]\sqrt{59}[/tex] is an irrational number between 7 and 8

Which of the following tables of values represent ordered pairs for the function f(x) = 2x – 1?
PLEASE HURRY 10 POINTS

A.
x 3 6 9 12
f(x) 6 12 18 24
B.
x 2 4 6 8
f(x) 5 9 13 17
C.
x 1 2 3 4
f(x) 1 3 13 17
D.
x 0 4 8 12
f(x) -1 7 15 23

Answers

Answer:

D

Step-by-step explanation:

x 0,4,8,12

f(x)‒1,7,15,23

we can prove as the following

f(x)=2x‒1

‒1=2(0)‒1

‒1=0‒1

‒1=‒1

f(x)=2x‒1

7=2(4)‒1

7=8‒1

7=7

f(x)=2x‒1

15=2(8)‒1

15=16‒1

15=15

f(x)=2x‒1

23=2(12)‒1

23=24‒1

23=23

i wish it helps you

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