Derivative Review Part 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

Find dy/dx

• A

• B

• C

• D

• 1/(2x⁵)
• 1/(10x⁴)
• 2x⁵
• 5/x

Tags

CCSS.HSA.APR.D.7

Find the derivative f(x) = x²/e^x

• f'(x) = (x²e^x - 2xe^x) / (e^x)²
• f'(x) = (2xe^x + x²e^x) / (e^x)²
• f'(x) = (2xe^x - x²e^x) / (e^x)²
• f'(x) = x²e^x + 2xe^x

Find the derivative:
y=5x²e^3x

• y'=10xe^3x(2x+3)
• y'=5xe^3x(3x+2)
• y'=10ex^3x(3x+2)
• y'=5xe^3x(2x+3)

• 1/(cos(5x²))

• -10x tan(5x²)

• -1/(10xsin(5x²))

• cos(5x²)

Tags

CCSS.HSF.BF.B.5

• -2

• 4

• -4

• 2

What is the average rate of change of
f(x)= x²+4x+4  from x=1 to x=-3

• 2
• -4
• 25/4
• 4

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

• 10

• DNE

What is the slope of the line normal to the curve y = x² + x at x = 1?

• -1

• -1/2

• -1/3

• -1/4