Derivatives

For the following equation, find f′(x).

f(x) = -3x^3

• dy/dx = -9x

• f' (x) = -6x^3

• dy/dx = -9x^3

• f'(x) = -9x^2

For the following equation, find dy/dx.

y = e^3

• y = 3e^2

• dy/dx = 3e^2

• dy/dx = 0

• y = 1

For the following equation, find dy/dx.

y = 4x^4 + 5x^3 + 7x + 9

• 16x^5 + 15x^6 + 7x^2 + 9x

• 8x^3 + 8x^2 + 16

• 8x^3 + 8x^2 + 8

• 16x^3 + 15x^2 + 7

For the following equation, evaluate f′ (-2).

f(x) = 3x^4 + 5x^2

• 56

• 68

• -20

• -44

Given f(x) = 4x^2 - 3x - 5, find the equation of the the tangent line of f at the point where x = 3.

What is the definition of a derivative?

Given f(x) = -2x²- x, find the slope of the tangent line of f at the point where x = 4.

• 12

• 10

• -17

• -16

For the following equation, evaluate f ’ (2). f (x) = 4x -5

• 3

• 4

• -3

• 8