Derivatives (Review)

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 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

Find the derivative of the given equation
f(x) = 1/x²

• 1/2x
• -2x
• 2x
• -2x^-3

Find the derivative of the given equation
f(x) = 7

• 7
• 0
• 7x
• 14

Differentiate f(x) =(2/ x⁵) - 5.

• x⁵-3
• -10x⁶ 
• x⁵-5
• -10x^-6 

• A
• B
• C
• D

• 4x⁹ + 6x⁷
• (2/5)x⁹ + (3/4)x⁷
• 20x⁹ + 24x⁷
• x⁹ + x⁷

Find the derivative of $g\left(x\right)=\frac{3x-2}{x^2+2}$  

•  $g'\left(x\right)=9x^2+2$  

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

•  $g'\left(x\right)=\frac{-3x^2+4x+6}{\left(x^2+2\right)^2}$  

•  $g'\left(x\right)=\frac{-3x^2+10}{\left(x^2+2\right)^2}$  

• cosx
• -cosx
• -sinx cosx
• sinx cosx

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.4