Suppose that y=f(x)=√x, x 20. J Find a c> 0 such that the tangent line to the curve y = f(x) at x = c has the same slope as the tangent line to the curve y = f-1(x) at x = c. You get: c = 1/1/₁ 1/3 = {}) ¹/³ C = - (1) ²/3 - (1) ¹/3 C =

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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Suppose that y=f(x)=√x, x 20.
J
Find a c> 0 such that the tangent line to the curve y = f(x) at x = c has the same
slope as the tangent line to the curve y = f-1(x) at x = c.
You get:
c = 1/1/₁
1/3
- (+) ¹/³
- (1) ²/3
1/3
- (1) ¹/³
C =
Transcribed Image Text:Suppose that y=f(x)=√x, x 20. J Find a c> 0 such that the tangent line to the curve y = f(x) at x = c has the same slope as the tangent line to the curve y = f-1(x) at x = c. You get: c = 1/1/₁ 1/3 - (+) ¹/³ - (1) ²/3 1/3 - (1) ¹/³ C =
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