For the function y a. Find f'(2) df dx = f-1(y) c. Find b. Find a formula for x = = = at x = 2. 1 df- dy (ƒ-¹)'(ƒ(2)) = f(x) = 4x³ + 9: f-1(y). at y = f(2).
For the function y a. Find f'(2) df dx = f-1(y) c. Find b. Find a formula for x = = = at x = 2. 1 df- dy (ƒ-¹)'(ƒ(2)) = f(x) = 4x³ + 9: f-1(y). at y = f(2).
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![For the function y
a. Find
f'(2)
df
dx
=
f-1(y)
c. Find
b. Find a formula for x =
=
=
at x = 2.
1
df-
dy
(ƒ-¹) '(ƒ(2)) =
f(x) = 4x³ + 9:
1
f-¹(y).
at y = f(2).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e51674d-3d29-4cb4-94ad-529601d10286%2Fdf66b057-6481-4c3c-8831-86a3ac6a4623%2Fo486bcm_processed.png&w=3840&q=75)
Transcribed Image Text:For the function y
a. Find
f'(2)
df
dx
=
f-1(y)
c. Find
b. Find a formula for x =
=
=
at x = 2.
1
df-
dy
(ƒ-¹) '(ƒ(2)) =
f(x) = 4x³ + 9:
1
f-¹(y).
at y = f(2).
![The following is the graph of a function f(x).
-5 -4 -3 -2 -1
Clear All Draw:
3
2
(ƒ −¹) '(2) =
=
-1
-4
-5-
2 3 4
a. On the same axes, sketch a graph of the inverse function ƒ−¹(x).
b. Use the graph of the inverse to evaluate (ƒ−¹)´(2).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e51674d-3d29-4cb4-94ad-529601d10286%2Fdf66b057-6481-4c3c-8831-86a3ac6a4623%2Fhjsysil_processed.png&w=3840&q=75)
Transcribed Image Text:The following is the graph of a function f(x).
-5 -4 -3 -2 -1
Clear All Draw:
3
2
(ƒ −¹) '(2) =
=
-1
-4
-5-
2 3 4
a. On the same axes, sketch a graph of the inverse function ƒ−¹(x).
b. Use the graph of the inverse to evaluate (ƒ−¹)´(2).
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