Question

if f is always increasing, then f' is always increasing? true or false?

Answer 1

Think of a straight line with a positive slope. The function is always increasing, what's happening to f'?

Answer 2

What is the definition of f'?

Answer 3

f prime

Answer 4

its a derivative

Answer 5

just because f is always increasing, does not mean that it's derivative is increasing.

take the linear function f(x) = x...

f(x) is always increasing, but f'(x) = 1... which stays the same no matter what x is

Answer 6

thanks for ur explanation :)

Answer 7

yw