Explanation Given: s ( x ) = e − 3 x + 1 + 5 ln ( 3 x ) Concept Used: Chain rule of differentiation is: d d x f [ g ( x ) ] = d d g f ( g ) d g d x , where gis a differentiable function at x and f is a differentiable function at g ( x ) Product rule of differentiation formula d d x ( u v ) = v d d x u + u d d x v Power rule of differentiation formula d d x x n = n x n − 1 d d x ( ln x ) = 1 x d d x e x = e x Calculation: To find derivative of the function s ( x ) = e − 3 x + 1 + 5 ln ( 3 x ) Differentiate both side of the equation with respect to x as d s ( x ) d x = d d x ( e − 3 x + 1 + 5 ln ( 3 x ) )

Modeling the Dynamics of Life: Calculus and Probability for Life Scientists

3rd Edition

ISBN: 9780840064189

Author: Frederick R. Adler

Publisher: Cengage Learning

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Chapter 2, Problem 17SP

To determine

To find derivative of the function

s(x)=e−3x+1+5ln(3x)

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Chapter 2, Problem 16SP

Chapter 2, Problem 18SP

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Chapter 2 Solutions

Modeling the Dynamics of Life: Calculus and Probability for Life Scientists

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

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To find derivative of the function s ( x ) = e − 3 x + 1 + 5 ln ( 3 x )

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To find derivative of the function s(x)=e−3x+1+5ln(3x)

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Chapter 2 Solutions

To find derivative of the function

s(x)=e−3x+1+5ln(3x)