Explanation Given Information: The function provided is y = 2 e 2 x + e 2 x 2 . 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 power rule, if y = x n , then, d y d x = n x n − 1 Calculation: Consider the function provided, y = 2 e 2 x + e 2 x 2 Rewrite the function as, y = 2 e − 2 x + 1 2 ⋅ e 2 x Differentiate both sides with respect to x and apply the properties of derivatives,

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ISBN: 9780357294383

Author: HARSHBARGER

Publisher: CENGAGE L

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Chapter 11.2, Problem 18E

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To calculate: The derivative of function, y=2e2x+e2x2.

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Chapter 11.2, Problem 17E

Chapter 11.2, Problem 19E

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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 = 2 e 2 x + e 2 x 2 .

Solution Summary: The author explains how to calculate the derivative of the function y=2e2.

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To calculate: The derivative of function, y=2e2x+e2x2.

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Chapter 11 Solutions