Exponential and Logarithmic Derivatives

Find dy/dx

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.8B

• 1/(2x⁵)
• 1/(10x⁴)
• 2x⁵
• 5/x

What is the derivative of ln(x)?

• xln(x)

• ln(x+1)

Find the derivative: y=lnx

Tags

CCSS.HSF-IF.C.8B

Find dy/dx for
y = 3^2x+5 

• dy/dx = 3^(2x+4)

• dy/dx = (3^(2x+4)) ln 3

• dy/dx = 3^(2x+5) ln3

• dy/dx = (3^(2x+5)) (ln 3) (2)

What is the derivative of ln(x)?

• xln(x)

• 1/x

• e^x

• ln(x+1)

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:
y = ln(4x³)

Find the derivative: y=ln(3x²-5x)

For the function below, identify its derivative:

$y=\ln x$