Exponential Derivatives

What is the derivative of e^x?

• xe^x-1

• x^e

• e^x

• e^x-1

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

Find the derivative f(x) = x²/e^x

• f'(x) = (x²e^x - 2xe^x) / (e^x)²

• f'(x) = (2xe^x + x²e^x) / (e^x)²

• f'(x) = (2xe^x - x²e^x) / (e^x)²

• f'(x) = x²e^x + 2xe^x

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• e^(2x)
• (x^2-2)e^(2x)
• 2xe^(x^2-2)
• (2x-2)e^(x^2-2)

Find the derivative:
y=4e^x²

• y'=8xe

• y'=8xe^x²

• y'=8xe^2x

• y'=8xe^4x²

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 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)

Find the derivative:

y=4e^x²

• A. y'=8xe^x

• B. y'=8xe^x²

• C. y'=8xe^2x

• D. y'=8xe^4x²