Derivatives of ln and e^x

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:

y = 4e^x²

• y' = 8xe^x

• y' = 8xe^x²

• y' = 8xe^2x

• y' = 8xe^4x²

Find y' if y = e^3x.

• y' = e^3x

• y' = e^2x

• y' = 0

• y' = 3e^3x

Find the second derivative of
f(x) = x² + e^x  - cosx

• f"(x) = 2 + e^x + cosx
• f"(x) = 2x + e^x + cosx
• f"(x) = 2x + xe^x - cosx
• f"(x) = 2x + e^x + sinx

Tags

CCSS.HSF.IF.A.2

Find the derivative:

y = e^5x+ln(x)

• y' = e^5+1/x

• y' = e^5x+ln(x)

• y' = (5+1/x) e^5x+ln(x)

• y' = (5/x) e^5x+ln(x)

Find the derivative:

y = 3ln(x²-3)

• y' = 6x/(x²-3)

• y' = 3/(x²-3)

• y' = 3x/(x²-3)

• y' = 9x/(x²-3)

Find the derivative:

y = ln(3x² - 5x)

• y' = (6x - 5)/(3x² - 5)

• y' = 6x - 5

• y' = (x³/3) - (5x²)/2

• y' = (6x - 5)/(3x³ - 2x)

Find the derivative.

• f'(x) = 1/(3x² + 5)^1/4

• f'(x)= (3x)/(2(3x² + 5))

• f'(x) = (2(3x² + 5)^3/4)/(3x)

• f'(x) = (3x² + 5)^1/4

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)

Find the derivative.

• 1/(12x²)

• 3/x

• 1/(4x³)

• 4x³