Derivatives of Transcendental Functions

Find the derivative:
y=4^x

• y′=4^x
• y′=(lnx)4^x
• y′=(ln4)4^x
• y′=(log4)4^x

Find the derivative:
y=5^7x

• y′=35(ln5)5^7x
• y′=7(ln5)5^7x
• y′=5(ln7)5^7x
• y′=35(ln7)5^7x

Tags

CCSS.HSF-IF.C.8B

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)

What is the derivative of ln(x)?

• xln(x)
• 1/x
• e^x
• ln(x+1)

Find dy/dx

• A

• B

• C

• D

Find the derivative:
y = 3ln(x²-3)

• 6x/(x²-3)
• 3/(x²-3)
• 3x/(x²-3)
• 9x/(x²-3)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Derive f(x)

• (3x²-5)/(2x³-10x)
• 1/√(x³-5x)
• 1/√(3x²-5)
• 1/(2x³-10x)

• A
• B
• C
• D

Tags

CCSS.HSF.TF.B.7

#8

• f′(x) = 1/x + 1/7

• f′(x) = 7/x + 7

• f′(x) = 1/e^x + 7

• f′(x) = 1/x + 7

Find the derivative of the given equation
f(x) = 1 - x²

• 1 - 2x
• -2x
• -2
• -1