Question

Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not exist, enter DNE.) f(x) = x / (x^2 + 64) (x, y) = ( ) (smaller x-value) (x, y) = ( ) (larger x-value)

          Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not exist, enter DNE.)
f(x) = x / (x^2 + 64)
(x, y) = ( ) (smaller x-value)
(x, y) = ( ) (larger x-value)

Added by Nicole C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Kathleen Carty

03/07/2023

Step 1

First, we need to find the derivative of the function f(x) = x^2 - 64. Using the power rule, we get: f'(x) = 2x Show more…

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Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not exist, enter DNE.) f(x) = x / (x^2 + 64) (x, y) = (smaller x-value) (x, y) = (larger x-value)