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 For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter7: Integration

Section7.1: Antiderivatives

Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...

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