AP Calculus

Limits, derivatives, and integrals at AP level.

01

d/dx [x³ sin(x)] = ?

02

∫(3x² + 2x) dx = ?

03

lim x→0 sin(5x)/x = ?

04

Find the critical points of f(x) = x³ − 6x² + 9x.

05
Sketch and find the area under y = x² from x = 0 to 3.
06

If f(x) = e^(2x), find f''(x).