Wikia

Math Wiki

Watchlist Random page Recent changes

Constant derivative rule/Proof

Talk0
629pages on
this wiki

\frac{d}{dx}a=0, for some constant a.

PrerequisitesEdit

The limit definition of the derivative, f'(x)=\lim_{h \to 0}\frac{f(x+h)-f(x)}{h}

ProofEdit

Let f(x) = a for some constant a. From the limit definition of the derivative:

f'(x)=\lim_{h \to 0}\frac{f(x+h)-f(x)}{h}
f'(x)=\lim_{h \to 0}\frac{a-a}{h}
f'(x)=0

QED

Retrieved from "http://math.wikia.com/wiki/Constant_derivative_rule/Proof?oldid=9261"
Advertisement | Your ad here

Photos

Add a Photo
80photos on this wiki
See all photos >

Recent Wiki Activity

See more >

Around Wikia's network

Random Wiki