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...
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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).
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).
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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