Question

If f'(x) = 0 for all x in the domain of "f", then "f" is a constant function. True or False?

Answer 1

true

Answer 2

true

Answer 3

yes, y = C is the solution to y' = 0

Answer 4

u can also use integration
\[f'(x)=0 \]\[\frac{df}{dx}=0\]\[f=\int\limits 0*dx=c\]so f is a constant function