Hello
Can you help me to do these two exercises please I block on those please it is on the derivatives of a number
Thank you so much in advance!!!
Answers
Answer:
First rememeber that if we have a function like:
g(x) = x^n
then:
dg(x)/dx = g'(x) = n*x^(n - 1)
And also if we have:
g(x) = f(x) + h(x)
then:
dg(x)/dx = g'(x) = f'(x) + h'(x)
1) We have the function f(x) = (x + 1)^2
We can rewrite this as:
f(x) = x^2 + 2*x + 1
Using both things written above, we know that:
f'(x) = 2*x + 1*2 = 2*x + 2
And we want to find f'(-2), so we only need to evaluate the above function in x = -2, this is:
f'(-2) = 2*-2 + 2 = -4 + 2 = -2
f'(-2) = -2
b) I suppose that this refers to the inverse function of f(x)
An inverse function is such that:
g( f(x)) = x
f( g(x)) = x
For f(x) = (x + 1)^2
The inverse will be something that first cancels that square, and then subtracts 1.
Then:
g(x) = √x - 1
if we evaluate this in f(x) we get:
g( f(x)) = √(f(x)) - 1 = √(x + 1)^2 - 1 = (x + 1) - 1 = x
Then the inverse function of f(x) is:
g(x) = √x - 1
This can also be written as:
g(x) = x^(1/2) - 1
Then the derivative of this will be:
g'(x) = (1/2)*x^(1/2 - 1) = (1/2)*x^(-1/2) = (1/2)*(1/√x)
Related Questions
Eric bought two jars of peppers and six jars of pickles for $49. Andrew bought three jars of peppers and 5 jars of pickles for $47.50. Find the cost of a jar of pickles.
Answers
Answer:
one jar of pickles is $1.50, 49-47.50 =1.50
Step-by-step explanation:
−8.3=d+4.7
Pls Help me
Answers
-d = 13
d = -13
Regina writes the expression y + 9. 3/4 Which expression is equivalent to the one Regina writes? answer choices in picture
Answers
Answer:
the second one
Step-by-step explanation:
the y cannot be inside of the parenthesis
Answer: A
Step-by-step explanation: In all of the other equations your including y in the multiplication, BUT it is supposed be added
What type of function can be used to model the scenario?
Burton Guster invests $15,000 into an account that earns 6.5% compounded annually.
Linear
Exponential
Quadratic
2. What type of function can be used to model the scenario?
Jack adds 2 quarters to his piggy bank each week.
Linear
Exponential
Quadratic
Answers
Answer:
1. Exponential
2. Linear
Step-by-step explanation:
1. Exponential
Principal = 15000
Rate, r = 6.5% compounded annually
A = P(1 + r)^t
A = 15000(1 + 0.065)^t
A = 15000(1.065)^t
2. Linear
Let initial amount in bank = x
Amount added per week = 2
Number of weeks or period = t
A = x + 2t
Please help!! Did he graph the equation correctly?
Answers
I have no idea how to do this....and I need help...
Which is the graph of 4x + 2y < 3?
Answers
Reason: when you solve for y you will get y < 3/2 -2x
The slope will be -2
And the y-intercept will be (0,3/2)
Lauryn wants to analyze the weights of
the dogs for people that own that animal
in her class. She records the following
weights in a class survey:
28, 61, 17, 42, 37, 37, 22, 40, 13, 14, 33,
41, 25
What is the median of the data?
Answers
Answer: 33
If you put all the numbers In order from least to greatest and find the middle number you'll get the answer
Calculate the area of the shapes below.
Answers
Answer:
the answer should be 24ft
Step-by-step explanation:
Answer:
24 ft
Step-by-step explanation:
1/2hb
4=h
12=b
plug in
1/2(4)(12)= 24
please help!!! i have been doing bad in math right now .
Answers
Hope this helps!!
is 120.4 hundredths or ones or tens or hundreds
Answers
Answer:
Not sure what you're asking but 120.4 is
one hundred
two tens
and four tenths
Slope:3,y-intercept:10
Answers
To write slope intercept form from 2 numbers, you take the 3 and covert it to 3/1, or rise/run form. Then you find the y-intercept. Now listen, this is very complicated. Ready? It's the y-coordinate. 10. Veery complicated.
So y=3/1+10
---
hope it helps
How many rays can you see in the picture?
Answers
Answer:
41
Step-by-step explanation:
please mark me as brainliest
plsss help i’ll give brainliest if you give a correct answer
Answers
Answer:
It is x=7.
Step-by-step explanation:
(7)+8=15 You can subtract and you can get 7!!!
Answer:
X = 7
Step-by-step explanation:
If we take the equation
x + 8 = 15
and then subtract 8 on both sides we get
x = 7
so therefore x is 7 to make the value true.
Penn State extension is interested in comparing the body length southern grass cicadas and citrus cicadas. The extension collected a random sample of 20 southern grass cicadas and found that they have a mean body length of 16.22 millimeters and a standard deviation of 1.34 millimeters. A separate random sample of 20 citrus cicadas resulted in a mean body length of 13.41 millimeters and a standard deviation of .73 millimeters. What is the standard error of the difference parentheses southern grass minus citrus) between the sample means
Answers
Answer:
The standard error between the sample mean is approximately 0.3412
Step-by-step explanation:
The equation for the standard error of a difference in sample mean of equal sample sizes is given as follows;
[tex]SE(\overline x_1 - \overline x_2)={\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
The given parameters are;
The number of sample of southern grass cicadas, n₁ = 20
The mean body length of the southern grass cicadas, [tex]\overline x _1[/tex] = 16.22 mm
The standard deviation, s₁ = 1.34 mm
The number of sample of citrus cicadas, n₂ = 20
The mean body length of the citrus cicadas, [tex]\overline x _2[/tex] = 13.41 mm
The standard deviation, s₂ = 0.73 mm
[tex]SE(16.22 - 13.41)={\sqrt{\dfrac{1.34^{2} }{20}+\dfrac{0.73^{2}}{20}}} \approx 0.3412[/tex]
The standard error between the sample mean, SE ≈ 0.3412
Use the equation below to answer the division question. A/b+(1/4x1/b)=1/2 What is 1/2 divided by a/b?
Answers
Answer:
[tex]\mathbf{\dfrac{2b- 1}{2b}}[/tex]
Step-by-step explanation:
[tex]\text{The given equation is:}[/tex]
[tex]\dfrac{a}{b}+ (\dfrac{1}{4} \times \dfrac{1}{b}) = \dfrac{1}{2}[/tex]
[tex]\text{To find:}[/tex]
[tex]\dfrac{1}{2} } \div {\dfrac{a}{b} }[/tex]
[tex]\text{From the given equation:}[/tex]
[tex]\dfrac{a}{b}+ (\dfrac{1}{4b}) = \dfrac{1}{2}[/tex]
[tex]\dfrac{a}{b} = \dfrac{1}{2} - (\dfrac{1}{4b})[/tex]
[tex]\dfrac{a}{b} = \dfrac{4b- 2}{(2) (4b)}[/tex]
[tex]\dfrac{a}{b} = \dfrac{4b- 2}{8b}[/tex]
[tex]\text{Now; the value of}[/tex] [tex]\dfrac{a}{b} \div \dfrac{1}{2}[/tex]
∴
[tex]\implies \dfrac{4b- 2}{8b} \div \dfrac{1}{2}[/tex]
[tex]\implies \dfrac{4b- 2}{8b} \times \dfrac{2}{1}[/tex]
[tex]\implies \dfrac{4b- 2}{4b}[/tex]
[tex]\implies \dfrac{2b- 1}{2b}[/tex]
Find the sale price to the nearest cent.
5. The sale price of a video game that has been
discounted 40% is $15.48. What was the original
price of the video game?
Answers
Answer:
38.70
Step-by-step explanation:
if you divide it it u can get the answers.
40÷15.48
WILL MARK BRAINLIEST
Answers
Answer:
first table
Step-by-step explanation:
other three tables have an 'x' value that maps to more than one 'y' value
a number , x, decreased by the sum of 4x and 6
Answers
Answer:
-3x - 6
Step-by-step explanation:
x - (4x + 6) becomes x - 4x - 6 after we've distributed the multiplication.
We can simplify this result as follows: -3x - 6
Solve for x.
A. 4°
b. 4.5 °
C. 6 °
d. 11.50 °
Answers
Answer: 5(2x+13)
Step-by-step explanation: Hope this was helpful....
Please answer the question above.
Answers
Answer:113
Step-by-step explanation:
V=pi r ^2 h solve for pi
Pls help me I can’t figure this one out...
Answers
Answer:
pi = V - r^2
Step-by-step explanation:
subtract r^2 from both sides !!!
The perimeter of the rectangular top of a bookcase is 54 in. Find the length of the width is 7 in.
Answers
Step-by-step explanation:
P = L × B
54 = L × 7
54 = 7L
Therefore, L = 54 ÷ 7
L = 7.71
Erin uses 2/8 yard of string to make 1 bracelet. Erin will make 6 bracelets. (A) How many yards of string will Erin use to make 6 bracelets? Show or explain how you got your answer. Erin uses 3/8 yard of string to make 1 necklace. Erin will make 5 necklaces. (B) How many yards of string will Erin use to make 5 necklaces? Show or explain how you got your answer.
Answers
Answer:
use math papa
Step-by-step explanation:
Answer:
the answer is A because thats the answer
3x2 equals..WHAT DOES IT EQUAL
Answers
Answer:
6
Step-by-step explanation:
OOO OOO = 6
I need to know the answer to the question
Answers
Answer:
X=4
Step-by-step explanation:
Answer and Step-by-step explanation:
To get x, we need to put everything on the right. We start off by multiplying each side by 3.
3 × [tex](\frac{7+2x}{3} ) =[/tex] 5 × 3
7 + 2x = 15
Now, we subtract 7 from each side.
(7 + 2x) - 7 = 15 - 7
2x = 8
Finally, we divide each side by 2.
2x ÷ 2 = 8 ÷ 2
x = 4
The answer to this equation is x = 4.
I hope this helps!
A thanks and 5 stars + brainliests are appreciated, but I help to help!
#teamtrees #PAW (Plant And Water)
Pleasssssssse help me with this
Answers
Answer:
B. 15x-35
Step-by-step explanation:
multiply 5 by both 3x and -7
5(3x-7)
5(3x) 5(-7)
15x-35
Answer:
your answer will be option B
Step-by-step explanation:
hope it helps
Can someone please answer this for me it's for a homework assignment.
Answers
Given that the measure of ∠x is 20°, and the measure of ∠y is 30°, find the measure of ∠z.
Answers
Answer:
130°
Step-by-step explanation:
20° + 30° =50°
a triangles full angle is 180°
180° - 50° = 130°
Melanie's bedroom floor has length equal to 6x + 5 and width equal to 9x - 4. What equation represents the area of the floor?
Answers
Answer:
54x ²+21x-20
Step-by-step explanation:
What does a perimeter of this figure consist of? Please help asap please
Answers
Answer:
i think its the third section choice