Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Please assist with the steps below 

Find the derivative of the function by using the rules of differentiation.

F(x)=0.003x^3-.04x^2+.1x-29

​

Expert Solution
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Step 1: Rules of derivatives

Given, F(x)=0.003 x cubed minus.04 x squared plus.1 x minus 29

rules of derivatives are 

left parenthesis i right parenthesis space fraction numerator d space over denominator d x end fraction left parenthesis x to the power of n right parenthesis equals n x to the power of n minus 1 end exponent left parenthesis i i right parenthesis space fraction numerator d space over denominator d x end fraction left parenthesis c o n s tan t right parenthesis equals 0

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