The derivative of 1,000 is equal to _______.

Question

A. ∞

B. nonexistence

C. − ∞

D. 0

Answer 1

D. 0 because the derivative of a constant is always 0

Answer 2

If f(x)=1000 -∞<x<∞

then at all points x in the domian,

the derivative df(x)/dx=0,,,,derivative of constant function=0

but if f(x)=1000,,,,,x=4

f(x)=x² ,,,,,x<4 and x>4

then the function at x=4 is discontinuous

and the point (4,1000) is isolated

in this case df(x)/dx is undefined at x=4, f(x)=1000