MathDB
Problems
Contests
Undergraduate contests
VTRMC
2022 VTRMC
6
6
Part of
2022 VTRMC
Problems
(1)
Bounding the Derivative
Source: VTRMC 2022 P6
1/4/2023
Let
f
:
R
→
R
f : \mathbb{R} \to \mathbb{R}
f
:
R
→
R
be a function whose second derivative is continuous. Suppose that
f
f
f
and
f
′
′
f''
f
′′
are bounded. Show that
f
′
f'
f
′
is also bounded.
VTRMC
college contests
function
derivative
calculus