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In Example 6 in this section, we were given f(x) = 3x² + 2x + 11 and found f'(x) = 6x + 2. (a) Find the instantaneous rate of change of f(x) at x = 5. (b) Find the slope of the tangent to the graph of y = f(x) at x = 5. (c) Find the point on the graph of y = f(x) at x = 5. (x, y) =

In Example 6 in this section, we were given f(x) = 3x² + 2x + 11 and found f'(x) = 6x + 2. (a) Find the instantaneous rate of change of f(x) at x = 5. (b) Find the slope of the tangent to the graph of y = f(x) at x = 5. (c) Find the point on the graph of y = f(x) at x = 5. (x, y) =

Calculus For The Life Sciences
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.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 19E: Find the instantaneous rate of change for each function at the given value. f(x)=x2+2x at x=0
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In Example 6 in this section, we were given f(x) = 3x² + 2x + 11 and found f'(x) = 6x + 2. (a) Find the instantaneous rate of change of f(x) at x = 5. (b) Find the slope of the tangent to the graph of y = f(x) at x = 5. (c) Find the point on the graph of y = f(x) at x = 5. (x, y) =
Transcribed Image Text:In Example 6 in this section, we were given f(x) = 3x² + 2x + 11 and found f'(x) = 6x + 2. (a) Find the instantaneous rate of change of f(x) at x = 5. (b) Find the slope of the tangent to the graph of y = f(x) at x = 5. (c) Find the point on the graph of y = f(x) at x = 5. (x, y) =
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