Derivative of Exponential and Logarithmic Functions

• 1/(3x²+5)^1/4
• (3x)/(2(3x²+5))
• (2(3x²+5)^3/4)/(3x)
• (3x²+5)^1/4

Find the derivative:

y=log₉x

• y′=1 /((log9)x)

• y′=(ln9)/x

• y′=1/(x(lnx))

• y′=1/((ln9)x)

Tags

CCSS.HSF-IF.C.8B

Find the derivative:

y=(2^3x+4)

• 3(ln2)(2^3x+4)

• 3(2^3x+4)

• 3(2^3x+4/(ln2))

• 2^3x+4

Find the derivative:

y=log₄(6x+5))

• (ln4)(1/(6x+5))

• (6ln4)/(6x+5)

• 6/((ln4)(6x+5))

• 6/(6x+5)

Tags

CCSS.HSF-IF.C.8B

Find y' if y=e^3x

• e^3x

• e^2x

• 0

• 3e^3x

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)

Find the derivative:
y=4e^x²

• y'=8xe

• y'=8xe^x²

• y'=8xe^2x

• y'=8xe^4x²

Tags

CCSS.HSF-IF.C.8B

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Find dy/dx

• A

• B

• C

• D

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