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Found in: Page 198


Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

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Short Answer

Use the differentiation rules developed in this section to find

the derivatives of the functions


The derivative of f(x)=4-x7 is -7x6

See the step by step solution

Step by Step Solution

Step1. Given information

Here function f(x)=4-x7 is given.

we have to find out the derivatives of this function

Step2. finding the derivatives of the function

By using the power rule, we can solve this problem.

Power rule: For any nonzero rational number k,


Thus using this power rule when we do the differentiation , we get

ddx(4-x7)=d(4)dx-d (x7)dx =0-7x6 since derivative of a constant is 0 =-7x6 thus the derivative of given function is -7x6

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