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Use the differentiation rules developed in this section to find

the derivatives of the functions

f(x)=4-x7

Short Answer

Expert verified

The derivative off(x)=4-x7is-7x6

Step by step solution

01

Step1. Given information

Here function f(x)=4-x7is given.

we have to find out the derivatives of this function

02

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,

ddxxk=kxk-1

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

ddx(4-x7)=d(4)dx-d(x7)dx=0-7x6sincederivativeofaconstantis0=-7x6thusthederivativeofgivenfunctionis-7x6

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