Explanation Given Information: The function provided is y = e x 4 − ( e x ) 4 . Formula used: According to the property of derivatives, if f ( x ) = c ⋅ u ( x ) , where, c is a constant and u ( x ) is a differentiable function of x , then, f ′ ( x ) = c ⋅ u ′ ( x ) According to the property of derivatives, for a function, y = e u , where, u is a differentiable function of x , d y d x = e u d u d x According to the product rule, for a function of form, y = f ⋅ g , the derivative is d d x ( f ⋅ g ) = g f ′ + f g ′ According to the power rule, if y = x n , then, d y d x = n x n − 1 If y = e x where, u is a differentiable function of x , d y d x = e x Calculation: Consider the function provided, y = e x 4 − ( e x ) 4 Differentiate both sides with respect to x and apply the formula for derivatives, d y d x = d d x ( e x 4 − ( e

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ISBN: 9780357294383

Author: HARSHBARGER

Publisher: CENGAGE L

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Chapter 11.2, Problem 21E

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To calculate: The derivative of function, y=ex4−(ex)4.

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Chapter 11.2, Problem 20E

Chapter 11.2, Problem 22E

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Chapter 11 Solutions

MATHEMATICAL APPL F/MGMT LIFE (LL) FDS

Ch. 11.1 - 1. Ch. 11.1 - 2. If Ch. 11.1 - Prob. 3CP Ch. 11.1 - 4. Find . Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Find the derivatives of the functions in Problems...

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The derivative of function, y = e x 4 − ( e x ) 4 .

Solution Summary: The author explains how to calculate the derivative of the function y=ex4-left.

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To calculate: The derivative of function, y=ex4−(ex)4.

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Chapter 11 Solutions