Derivatives of exponential functions

Tags

CCSS.HSF-IF.C.8B

Find the derivative:
y=4e^x²

• y'=8xe^x
• y'=8xe^x²
• y'=8xe^2x
• y'=8xe^4x²

What is the derivative of e^x?

• xe^x-1
• x^e
• e^x
• e^x-1

Tags

CCSS.HSF-IF.C.8B

Derive y=e^3x

• e^3x
• 3e^3x
• 3x
• 3xe^3x

Find the derivative:

y=e^5x+ln(x)

• e^5+1/x

• e^5x+ln(x)

• (5+1/x) e^5x+ln(x)

• (5/x) e^5x+ln(x)

Tags

CCSS.HSF-IF.C.8B

Find the derivative:
y = 3ln(x²-3)

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

Find the derivative:

y=ln(3x²-5x)

• (6x-5)/(3x²-5)

• 6x-5

• (x³/3)-(5x²)/2

• (6x-5)/(3x³-2x)

The derivative of (x + lnx ) with respect to x is

• x − 1/x

• 1 + 1/x

• x + 1/x

• 1 + 1/x²