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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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