Derivatives- power rule

Find the derivative of the given equation
f(x) = x⁴ 

• x³ 
• 4x
• 4x³
• x⁴

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

Tags

CCSS.HSA.APR.A.1

Find the derivative of f(x) = 6x³⁰ -2x¹⁵ + 4x³ - 2x + 1

• f'(x) = 18x²⁹ + 30x¹⁵ + 12x³ 
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² 
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² - 2
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² +1

Tags

CCSS.HSA.APR.A.1

The derivative of 

• y'=2x-x^-2
• y'=x^-1+8x
• y'=x^-2+8x
• y=8x-x^-2

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

Find the derivative of the given equation

g(x) = 1 - x²

• g'(x) = 1 - 2x

• g'(x) = -2x

• g'(x) = -2

• g'(x) = -1

Tags

CCSS.HSF.IF.A.2

 $y\ =\ -5x^4+3x^3-2x^2+9$  

Determine  $\frac{dy}{dx}$  .

•  $\frac{dy}{dx}=-5x^3+3x^2-2x$  

•  $\frac{dy}{dx}=-20x^4+9x^3-4x^2+9$  

•  $\frac{dy}{dx}=-20x^3+9x^2-4x$  

•  $\frac{dy}{dx}=-20x^3+x^2-4x+9$  

If  $f\left(x\right)=\frac{3}{x^2}$  , calculate  $f'\left(x\right)$  .

•  $-\frac{6}{x^3}$  

•  $\frac{6}{x^3}$  

•  $\frac{6}{x}$  

•  $-\frac{6}{x}$  

Tags

CCSS.HSF.IF.A.2

Differentiate h(x) = 3x^5/3 - 6x^1/6 + 3x

• 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

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

 $f\left(x\right)=\left(2x+3\right)^2$ 

Calculate the derivative of  $f\left(x\right).$  

•  $4x^2+9$  

•  $8x$  

•  $8x+12$  

•  $4x^2+12x+9$  

Find the derivative of  $f\left(x\right)\ =\ \left(3\ -\ \sqrt{x}\right)\left(3\ -\ \sqrt{x}\right)$  

•  $9-6\sqrt{x}-x$  

•  $-\frac{3}{\sqrt{x}}-1$  

•  $-\frac{1}{3\sqrt{x}}-1$  

•  $-\frac{1}{\sqrt{3x}}-1$