Question 5.(10 marks) (a) Find the equation of the line tangent to the curve y³ + 4y arctanz-ry=n at the point (1,1). (b) Suppose that the differentiable function f(r) has an inverse. If the graph y = f(r) passes through the point (2,4) where its tangent line has slope 1/3, find df-1/dr when r = 4. (Hint: How are the derivatives off and its inverse related?)

Question 5.(10 marks) (a) Find the equation of the line tangent to the curve y³ + 4y arctanz-ry=n at the point (1,1). (b) Suppose that the differentiable function f(r) has an inverse. If the graph y = f(r) passes through the point (2,4) where its tangent line has slope 1/3, find df-1/dr when r = 4. (Hint: How are the derivatives off and its inverse related?)

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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