1. Answer the following: (a) If you are given a differentiable function f, give at least one interpretation of f'(a). (b) Given that the tangent line to the graph of f(x) at the point (2, 5) has the equation y = 3r-1, find f'(2). (e) For the function y = f(r) in part (b), what is the instantaneous rate of change of y with respect to z at z = 2?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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1. Answer the following:
(a) If you are given a differentiable function f, give at least one interpretation of f'(a).
(b) Given that the tangent line to the graph of f(x) at the point (2, 5) has the equation y = 3r-1,
find f'(2).
(e) For the function y = f(r) in part (b), what is the instantaneous rate of change of y with
respect to z at z = 2?
Transcribed Image Text:1. Answer the following: (a) If you are given a differentiable function f, give at least one interpretation of f'(a). (b) Given that the tangent line to the graph of f(x) at the point (2, 5) has the equation y = 3r-1, find f'(2). (e) For the function y = f(r) in part (b), what is the instantaneous rate of change of y with respect to z at z = 2?
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