Derivatives using the Power Rule

What is the derivative of a constant, c?

• c

• 0

• 1

Find the derivative of the given equation
 $f\left(x\right)=\frac{1}{x^2}$ . Hint: Rewrite with a negative exponent first! 

•  $f'\left(x\right)=\frac{1}{2x}$  

•  $f'\left(x\right)=-2x^3$  

•  $f'\left(x\right)=2x$  

•  $f'\left(x\right)=-\frac{2}{x^3}$  

Find the derivative of the given equation

y = 7

• y' = 7

• y' = 0

• y' = 7x

• y' = 14

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

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

• 4
• x
• -4
• 0

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

• x³ 
• 4x
• 4x³
• x⁴

Find the derivative of y=5x⁴

• (5x³)/4
• 20x⁴
• 20x³
• x⁵

Differentiate y= 12x^-2

• 24x^-1
• -24x^-3
• -24x^-1
• 6x^-3

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Find the derivative of the given equation

f(x) = x⁴ + 4x³ - 2x²

• f'(x) = x³ + x² - x

• f'(x) = 4x³ + 12x² + 4x

• f'(x) = 4x + 12x - 4x

• f'(x) = 4x³ + 12x² - 4x

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