We are given f(x) = = 5x2 and f'(x) = 10x. (a) Find the instantaneous rate of change of f(x) at x = 4. (b) Find the slope of the tangent to the graph of y = f(x) at x = 4. (c) Find the point on the graph of y = f(x) at x = 4. (x, y) =
We are given f(x) = = 5x2 and f'(x) = 10x. (a) Find the instantaneous rate of change of f(x) at x = 4. (b) Find the slope of the tangent to the graph of y = f(x) at x = 4. (c) Find the point on the graph of y = f(x) at x = 4. (x, y) =
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...
Question
Transcribed Image Text:We are given f(x) =
=
5x2 and f'(x)
= 10x.
(a) Find the instantaneous rate of change of f(x) at x = 4.
(b) Find the slope of the tangent to the graph of y = f(x) at x = 4.
(c) Find the point on the graph of y = f(x) at x = 4.
(x, y)
=
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