10/27 Derivative Review

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 slope of f(x) = -3x²-6x at x = 1.

• m = 0
• f'(x) = -6x - 6
• f'(x) = 6x
• m = -12

Differentiate y= 12x^-2

• 24x^-1
• -24x^-3
• -24x^-1
• 6x^-3

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Use the product rule to determine the derivative.

• 4x⁸+60x⁶+12x³
• 12x⁷+36x²
• 32x⁷+36x²
• 20x⁶

Tags

CCSS.HSA.APR.A.1

f(x)= 9/∛x
f'(x) =

• 9x^-1/3
• -3x^-4/3
• -9x^2/3
• -3x^2/3

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

CCSS.HSN.RN.A.2

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

g(x) = 1 - x²

• g'(x) = 1 - 2x

• g'(x) = -2x

• g'(x) = -2

• g'(x) = -1

Tags

CCSS.HSF.IF.A.2

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

Tags

CCSS.HSA.APR.A.1

Let y = (x - 1)(x + 2). Find dy/dx.

• 2x + 1

• 2x - 1

• 4x - 1

• 2x² + x - 1

Tags

CCSS.HSA.APR.A.1

Let f(x) = (x - 1)(x + 2). Find f'(0)

• 0

• 1

• 2

• 3

Tags

CCSS.HSF.IF.A.2