Why is derivative of constant zero?

Use the limit definition of the derivative:

##f'(x)=lim_(hrarr0)(f(x+h)-f(x))/h##

If ##f(x)=”C”##, where ##”C”## is any constant, then

##f(x+h)=”C”##

Thus,

##f'(x)=lim_(hrarr0)(“C”-“C”)/h=lim_(hrarr0)0/h=lim_(hrarr0)0=0##

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Why is derivative of constant zero?

Use the limit definition of the derivative:

##f'(x)=lim_(hrarr0)(f(x+h)-f(x))/h##

If ##f(x)=”C”##, where ##”C”## is any constant, then

##f(x+h)=”C”##

Thus,

##f'(x)=lim_(hrarr0)(“C”-“C”)/h=lim_(hrarr0)0/h=lim_(hrarr0)0=0##

Previous answers to this question


This is a preview of an assignment submitted on our website by a student. If you need help with this question or any assignment help, click on the order button below and get started. We guarantee authentic, quality, 100% plagiarism free work or your money back.

order uk best essays Get The Answer
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