Derivative Power Rule

Find the derivative of the given equation

f(x) = 7

• f '(x) = 7

• f '(x) = 0

• f '(x) = 7x

• f '(x) = 14

Find the derivative of the given equation

f(x) = x⁴

• f '(x) = x³

• f '(x) = 4x

• f '(x) = 4x³

• f '(x) = x⁴

Find the derivative of y=5x⁴

• $\frac{dy}{dx}=\frac{5x^3}{4}$

• $\frac{dy}{dx}=20x^4$

• $\frac{dy}{dx}=20x^3$

• $\frac{dy}{dx}=x^5$

Find the derivative of the given equation

f(x) = x³ + x² + 3

• f '(x) = 3x² + 2x

• f '(x) = 3x + 2x

• f '(x) = 3x + 2x + 3

• f '(x) = x³ + x²

Find the derivative of the given equation

f(x) = 1 - x²

• f '(x) = 1 - 2x

• f '(x) = -2x

• f '(x) = -2

• f '(x) = -1

What is the derivative of xⁿ?

• (n-1)xⁿ
• nxⁿ⁺¹
• (n+1)x^n-1
• nx^n-1

Find the derivative of the given equation
f(x) =  $\frac{1}{x^2}$  

• f '(x) =  $\frac{1}{2x}$  

• f '(x) =  $\frac{-2}{x^3}$  

• f '(x) = 2x

• f '(x) = -2x

The derivative of  $y=4x^2-\frac{1}{x}$  

•  $y\ '\ =2x-\frac{1}{x^2}$  

•   $y\ '\ =\frac{1}{x}+8x$  

•   $y\ '\ =8x-1$  

•   $y\ '\ =8x+\frac{1}{x^2}$  

Differentiate y =  $\frac{12}{x^2}$  

• y' = 24x^-1

• y' = -24x^-3

• y' = -24x^-1

• y' = 6x^-3

Differentiate y = $\frac{2x^2+x-3}{x}$  

• y ' =  $2x+1-\frac{3}{x}$  

• y ' =  $4x+1-\frac{1}{x^2}$  

• y ' =  $2+\frac{3}{x^2}$  

• y ' =  $4x+1-\frac{3}{x^2}$