Derivatives Exponential Functions

If f(x)=e^x, what is f'(x)

• e^2

• e^x

• e^3

• e^4

Find the gradient function for y equal to: 2e^x+e^-3x

• 2e^x - 3e^(-3x)

• 2e^x + 3e^(-3x)

• 2e^x - 3e^3x

• 2e^x + e^(-3x)

Find the gradient function for y equal to: x²e^-x

(Use the product rule)

• 2xe^-x - x^2e^-x

• 2x^2e^-x - x^2e^-x

• 2xe^-x - x^2e^-x + 1

• 2xe^-x + x^2e^-x

Find the gradient function for y equal to: e^2x/x

• (2xe^(2x) - e^(2x))/x^2

• (2xe^(2x) - e^(2x))/x

• (2xe^(2x) + e^(2x))/x^2

• (2e^(2x) - e^(2x))/x^2

Find dy/dx for
y = 3^2x+5 

• dy/dx = 3^(2x+4)

• dy/dx = (3^(2x+4)) ln 3

• dy/dx = 3^(2x+5) ln3

• dy/dx = (3^(2x+5)) (ln 3) (2)

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

Find y' if y=e^3x

• e^3x

• e^2x

• 0

• 3e^3x

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

Differentiate:
f(x) = x³e^4x
*You will need to remove the Greatest Common Factor

• f '(x) = 3x²e^4x

• f '(x) = 3x²e^4x+3x²e^4x

• f '(x) = x²e^4x(4x+3)

• f '(x) = xe^4x(4x²+3x)