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

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

Find the derivative:

y=(2^3x+4)

• 3(ln2)(2^3x+4)

• 3(2^3x+4)

• 3(2^3x+4/(ln2))

• 2^3x+4

Tags

CCSS.HSF.BF.B.5

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=ln(3x²-5x)

• (6x-5)/(3x²-5)

• 6x-5

• (x³/3)-(5x²)/2

• (6x-5)/(3x³-2x)

Evaluate:
∫ x e^-3x² dx

• -⅙ e^-3x²+c
• ⅓ e^-3x²+c
• -⅓ e^-3x²+c
• ⅙ e^-3x²+c

• ln(2x²+6) + C
• ln(2x²+6)(4x) + C
• 1/(2x²+6) + C
• 1/(2x²+6)² + C