Explanation Given: The function, y = 4 x Concept Used: Power rule of derivatives, d d x ( x n ) = n x n − 1 Derivative of any constant C is zero, that is, d d x ( C ) = 0 Calculation: Consider the function, y = 4 x In order to find the derivative of the function at the specified point, first we differentiate the function with respect to x using the power rule of derivatives. So, it gives d y d x = d d x ( 4 x ) = d d x ( 4 x − 1 ) = 4 ( − 1 x − 1

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Differential Equations

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Chapter 3.1, Problem 38PS

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The derivative, dydx|x=c of the function y=4x at c=1 .

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Chapter 3.1, Problem 37PS

Chapter 3.1, Problem 39PS

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Chapter 3 Solutions

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The derivative, d y d x | x = c of the function y = 4 x at c = 1 .

Solution Summary: The author explains that the derivative of the function y=4x is given by the power rule of derivatives.

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The derivative, dydx|x=c of the function y=4x at c=1 .

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Chapter 3 Solutions