1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
den301095 [7]
3 years ago
15

Find the derivative of the inverse function of the original function f(x)=(x+1)^3-5

Mathematics
1 answer:
____ [38]3 years ago
4 0

Answer:

Step-by-step explanation:

let f(x)=y

y=(x+1)^{3} -5\\flip ~x~and~y\\x=(y+1)^{3}-5\\(y+1)^{3}=x+5\\y=(x+5)^{\frac{1}{3} } -1\\or~f^{-1}(x)=(x+5)^{\frac{1}{3} } -1\\(f^{-1})'(x)=\frac{1}{3} (x+5)^{\frac{-2}{3} }

You might be interested in
Plz help me!!!<br><br> find the value of {3-2(3-4)^3}^3
maxonik [38]

Answer:

-226,981

Step-by-step explanation:

This is how you do it.

First, you do 3-2 which is 1.

Then, you do 3-4 to the 3rd power which is -61.

After, you do 1*-61 because there are parenthesis, which equals -61.

Then, you do -61, which is the total of everything in parenthesis, and do it times the power of 3 to get -226,981.

Hope it helps!!^_^

6 0
3 years ago
Read 2 more answers
Help me if your to cool for school...
tankabanditka [31]

Answer:

i think its set B..........

4 0
2 years ago
Read 2 more answers
Pls answer A,B,and C. Pls tell me the correct answer for each part and explain how you got the answer.(step by step)
Nady [450]
A). The area of the shaded triangle is 64cm. This is because the formula for the area of a triangle is (b x h) / 2, and the base of this triangle is 16, and the height is 8. So, 16 x 8 is 128, and 128 / 2 = 64. The area is 64cm.
B). The area of each white triangle is 32cm because we can see that the two white triangles is equal to half of the shaded triangle, so we can take the base of the shaded triangle and divide it in two. Then we can use the formula for the area of a triangle and solve for the area: (b x h) / 2 = (8 x 8) / 2 = 32. The area of one of the white triangles is 32cm.
C). Since we have solved for the area of each of the triangles, we can add up all of these individual areas to get the area for the rectangle: White triangle + white triangle + shaded triangle = 32 + 32 + 64, which is equal to 128cm, the area of the rectangle.
4 0
3 years ago
What is the slope of the line that passes through the points <br> (−9,5) and(−17,5)?
Kryger [21]
The slope for points (-9, 5) (-17, 5) is m = 0
7 0
3 years ago
Read 2 more answers
What is best described as all the points on a plane that are the same distance from a single point called a center?
marin [14]

The <u>circle</u> is best described as all the points  that are the same distance from a single point as its center.

distance between the midpoint and the border of circle are called <u>radius of circle.</u>

because a circle is special type of ellipse

5 0
3 years ago
Read 2 more answers
Other questions:
  • Math help please 14 points and brainiest!!!
    9·2 answers
  • What is the solution of the inequality?
    6·1 answer
  • Jan's scores on five quizzes were 2, 8, 8, 9, and 10. Is the mean or median the best measure of center to summarize Jan's scores
    8·1 answer
  • Operations definition please
    12·2 answers
  • One card is drawn from a well shuffled deck of 52 cards find the probability of getting a red 10
    5·1 answer
  • Please help ASAP. I really need help on this one
    14·1 answer
  • Which value is in the domain of f(x)?
    5·1 answer
  • A farm is loading grain corn into a truck. After loading 15 bushels of corn, the total weight of the corn is 840 pounds. If the
    15·1 answer
  • Pleasee tell me the answer in a simple way
    11·2 answers
  • Emma pays 10$ to join a gym. For the first 5 months she pays a monthly 15$ membership fee. For problems 6-7 use the explicit rul
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!