Derivatives

Instantaneous rate of change.

01

d/dx [5x⁴ − 3x + 2] = ?

02

d/dx [sin(x²)] = ?

03
Slope of y = x³ at x = 2?
04

If f(x) = x · eˣ, find f'(x).

05

Find dy/dx implicitly: x² + y² = 25