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

6th Edition

ISBN: 9781465208880

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

Publisher: Kendall Hunt Publishing

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Chapter 3.1, Problem 36PS

To determine

The derivative, dydx|x=c of the function y=4−x at c=2 .

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Chapter 3.1, Problem 35PS

Chapter 3.1, Problem 37PS

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Chapter 3 Solutions

Calculus

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The derivative, d y d x | x = c of the function y = 4 − x at c = 2 .

Solution Summary: The author explains that the derivative of the function y=4-x is given by c

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The derivative, dydx|x=c of the function y=4−x at c=2 .

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Chapter 3 Solutions