Derivative of Exponential Functions

What is the derivative of e^x?

• xe^x-1
• x^e
• e^x
• e^x-1

Derive y=e^3x

• e^3x
• 3e^3x
• 3x
• 3xe^3x

Find the derivative f(x) = xe^x

• A. f'(x) = e^x

• B. f'(x) = xe^x + xe^x

• C. f'(x) = e^x - xe^x

• D. f'(x) = e^x + xe^x

Find the derivative.
f(x) = -8x^-3 + 5x - e^x

• f'(x) = -24x^-4 + 5 - e^x
• f'(x) = 24x^-4 + 5 - e^x
• f'(x) = 24x^-2 + 5 - e^x
• f'(x) = 24x^-4 + 5 - e^x-1

Find y' if y=e^3x

• e^3x
• e^2x
• 0
• 3e^3x

Find the derivative f(x) = x²/e^x

• A. f'(x) = (x²e^x - 2xe^x) / (e^x)²

• B. f'(x) = (2xe^x + x²e^x) / (e^x)²

• C. f'(x) = (2xe^x - x²e^x) / (e^x)²

• D. f'(x) = x²e^x + 2xe^x

Find the derivative:

y=4e^x²

• A. y'=8xe^x

• B. y'=8xe^x²

• C. y'=8xe^2x

• D. y'=8xe^4x²

• A

• B

• C

• D