The Power Rule

• h'(x) = 5x^2/3 - x^-5/6 + 3

• h'(x) = 3x^2/3 - 6x + 3

• h'(x) = 5x^4/3 - 6x + 3

• h'(x) = 3x^4/3 - x^-5/6 + 3

Which function has the derivative of g'(x) = 4x³ + 2x - 1

• g(x) = 2x⁴ + 2x² - 1

• g(x) = x⁴ + x² - x

• g(x) = 2x³ + x³ - 2x

• g(x) = x⁵ + x² - x

Differentiate y= 12x^-2

• 24x^-1

• -24x^-3

• -24x^-1

• 6x^-3

Mathematical Equivalence

ON

Find the derivative of the given equation

Find the derivative.
 f(z) = 1/(3z²) + 4z³

• f'(z) = 6z³ + 12z²

• f'(z) = 6z + 12x²

• f'(z) =  -2/(3z³) + 12z²

• f'(z) = -6/z² + 12z²

Set up the derivative of y=(3x⁴ - 7)*(5x² + 1)

• (12x³)*(10x)

• (3x⁴ - 7)*(10x) + (12x³)*(5x² + 1)

• (3x⁴ - 7)*(10x) - (12x³)*(5x² + 1)

• (3x⁴ - 7)/(10x) + (12x³)/(5x² + 1)

Find the derivative of y=5x⁴

• (5x³)/4

• 20x⁴

• 20x³

• x⁵

Find the derivative of the given equation
f(x) = -4x

• 4

• x

• -4

• 0