Question

Prove that the derivative of a constant is Zero.

Answer 1

Answer:

We know that the derivative of a constant is zero, but the only proof that we can find is:

given that f(x)=x^0,

f′(x)=lim h→0[f(x+h) −f(x) ]/h

f′(x)=lim h→0 [(x+h)^0−x^0 ]/h

and then because (x+h)^0−x^0=1−1=0, then

f′(x)=limh→0 0/h=0

THUS,DERIVATIVE OF A CONSTANT IS ZERO

Step-by-step explanation:

VENOM!

Answer 2

Answer:

proof:

suppose F(x) for some constant then the derivative of F(x) can be found as follows

F(x)=lim F(x/h)-F(x)upon h

=lim. c-c

h>o= 0

=o