Determine the derivative of f(x) = 4x2⋅g(x)

f '(x) = 8x⋅g(x) + 4x2⋅g '(x)

M31 Basic Derivatives Flashcards

1

(f / g) ' = f ' / g '

2

Determine the derivative of y = 2x³ - 4x² + 8

3

Determine dy/dx for y = a³ where a is a real number.

4

Determine the slope of y = 2x⁴ / (3x - 1) when x = -1.

5

(f + g) ' = f ' + g '

6

(f ⋅ g) ' = f ' ⋅ g '

7

(f - g) ' = f ' - g '

8

Determine the derivative of y = (2x³ - 5)⁶

9

Determine the derivative of f(x) = 4x²⋅g(x)

10

Determine the derivative of y = 3x(2x² - 5).

11

Determine the derivative of y = 4/x³+ 2√x.