The derivative of a function is given by

MATHEMATICS · Multi-part · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

The derivative of a function

f

is given by

f'(x) = 4 + 2x - 3e^x

, where

x \in \mathbb{R}

. (1) Find the values of

x

for which

f

is decreasing. (2) Find the values of

x

for which the graph of

f

is concave-up.