Calculus 2.5-2.9 Quiz

Find the derivative of the given equation

f(x) = 7

Find the derivative of the given equation

f(x) = -4x

Find the derivative of the given equation

f(x) = 1 - x²

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 an equation of the tangent line to the graph of f(x) at the point (1, 100)
f(x) = (5x⁵ + 5)²

• y = 500x + 400
• y = 100x + 400
• y = -500 x - 400
• y = 500x - 400

Set up the derivative of y=(3x⁴ - 7)*(5x² + 1)

• (12x³)*(10x)

• (3x⁴ - 7)*(10x) + (5x² + 1)*(12x³)

• (3x⁴ - 7)*(10x) - (5x² + 1)*(12x³)

• (3x⁴ - 7)/(10x) + (12x³)/(5x² + 1)

• 1/2
• -1/2
• 0
• 3/2

Find the derivative.

• x⁴ cosx - 4x³sinx
• x⁴ cosx + 4x³sinx
• 4x³cosx
• -4x³cosx

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

CCSS.HSF.TF.A.2

Find the derivative f(x) = xe^x

• f'(x) = e^x

• f'(x) = xe^x + xe^x

• f'(x) = e^x - xe^x

• f'(x) = e^x + xe^x

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.C.8

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

•  $\frac{3}{2x}$  
  

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

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

•  $\frac{9x^2-4x+6}{\left(x^2+2\right)^2}$  
  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7