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Let f(x) = x6, x ≤ 1 √√x, x > 1 Determine whether f is differentiable at x = 1. If so, find the value of the derivative there.

Let f(x) = x6, x ≤ 1 √√x, x > 1 Determine whether f is differentiable at x = 1. If so, find the value of the derivative there.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.3: Analyzing Graphs Of Functions
Problem 6ECP
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Let f(x) = x6, x ≤ 1 √x, x > 1 Determine whether f is differentiable at x = Of is differentiable at x = 1. f'(1) = 1 Of is not differentiable at x = 1. о f is differentiable at x = Of is differentiable at x = Of is differentiable at x = 1. If so, find the value of the derivative there. 1 6 1. f'(1) = 0 1. f'(1) = 1. f'(1) = 6
Transcribed Image Text:Let f(x) = x6, x ≤ 1 √x, x > 1 Determine whether f is differentiable at x = Of is differentiable at x = 1. f'(1) = 1 Of is not differentiable at x = 1. о f is differentiable at x = Of is differentiable at x = Of is differentiable at x = 1. If so, find the value of the derivative there. 1 6 1. f'(1) = 0 1. f'(1) = 1. f'(1) = 6
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