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Calculate the one-sided derivatives of the function. 1 = { 2x = ²1₁ - f(x) = f'_(1) = f'+(1) = x², if x ≤ 1 2x 1, if x > 1, Is the function continuous at x = 1? x = 1 The function is continuous at x = 1. O The function is not continuous at x = 1. Is the function differentiable at x = 1? O The function is differentiable at x = 1. O The function is not differentiable at x = 1.

Calculate the one-sided derivatives of the function. 1 = { 2x = ²1₁ - f(x) = f'_(1) = f'+(1) = x², if x ≤ 1 2x 1, if x > 1, Is the function continuous at x = 1? x = 1 The function is continuous at x = 1. O The function is not continuous at x = 1. Is the function differentiable at x = 1? O The function is differentiable at x = 1. O The function is not differentiable at x = 1.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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Calculate the one-sided derivatives of the function. { 2x f(x) = f'_(1) = f'+(1) = x², if x ≤ 1 2x 1, if x > 1, - Is the function continuous at x = 1? x = 1 The function is continuous at x = 1. O The function is not continuous at x = 1. Is the function differentiable at x = 1? O The function is differentiable at x = 1. O The function is not differentiable at x = 1.
Transcribed Image Text:Calculate the one-sided derivatives of the function. { 2x f(x) = f'_(1) = f'+(1) = x², if x ≤ 1 2x 1, if x > 1, - Is the function continuous at x = 1? x = 1 The function is continuous at x = 1. O The function is not continuous at x = 1. Is the function differentiable at x = 1? O The function is differentiable at x = 1. O The function is not differentiable at x = 1.
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