Consider the graph of the function f(x) = ln(1 + x²) for x > 0. 1. Find f'(x). 2. At which value of x > 0 is the slope of the tangent line the greatest?

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.
Chapter4: Calculating The Derivative
Section4.1: Techniques For Finding Derivatives
Problem 36E: Find all points on the graph of fx=x3+9x2+19x-10 where the slope of the tangent line is -5.
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Consider the graph of the function f(x) = ln(1 + x²) for x > 0.
Find f'(x).
At which value of x > 0 is the slope of the tangent line the greatest?
1.
2.
Transcribed Image Text:Consider the graph of the function f(x) = ln(1 + x²) for x > 0. Find f'(x). At which value of x > 0 is the slope of the tangent line the greatest? 1. 2.
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