Differentiate exponent

What is the derivative of

 $y=e^{2x+3}$  

•  $\frac{dy}{dx}=e^{2x+3}$  

•  $\frac{dy}{dx}=2e^{2x+3}$  

•  $\frac{dy}{dx}=2xe^{2x+3}$  

•  $\frac{dy}{dx}=3e^{2x+3}$  

What is the derivative of

 $y=3e^{2-3x}$  

•  $\frac{dy}{dx}=3e^{2-3x}$  

•  $\frac{dy}{dx}=3e^{2-3x}$  

•  $\frac{dy}{dx}=-9e^{2-3x}$  

•  $\frac{dy}{dx}=9e^{2-3x}$  

What is the derivative of

 $y=2e^{\sqrt{x+3}}$  

•  $\frac{dy}{dx}=\frac{e^{\sqrt{x+3}}}{\sqrt{x+3}}$  

•  $\frac{dy}{dx}=\frac{2e^{\sqrt{x+3}}}{\sqrt{x+3}}$  

•  $\frac{dy}{dx}=2e^{\sqrt{x+3}}$  

•  $\frac{dy}{dx}=e^{\sqrt{x+3}}$  

What is the derivative of

 $y=5e^{4x-x^2}$  

•  $\frac{dy}{dx}=5e^{4x-x^2}$  

•  $\frac{dy}{dx}=5\left(2-x\right)e^{4x-x^2}$  

•  $\frac{dy}{dx}=10\left(2-x\right)e^{4x-x^2}$  

•  $\frac{dy}{dx}=\left(4-2x\right)e^{4x-x^2}$  

What is the derivative of

 $y=e^{3x}+\frac{1}{2e^{2x}}$  

•  $\frac{dy}{dx}=3e^{3x}-\frac{1}{2e^{2x}}$  

•  $\frac{dy}{dx}=3e^{3x}-\frac{1}{e^{2x}}$  

•  $\frac{dy}{dx}=e^{3x}-\frac{1}{e^{2x}}$  

•  $\frac{dy}{dx}=e^{3x}-\frac{1}{2e^{2x}}$  

What is the derivative of

 $y=e^{\sqrt{x^2+1}}$  

•  $\frac{dy}{dx}=\frac{e^{\sqrt{x^2+1}}}{\sqrt{x^2+1}}$  

•  $\frac{dy}{dx}=\frac{2e^{\sqrt{x^2+1}}}{\sqrt{x^2+1}}$  

•  $\frac{dy}{dx}=\frac{2xe^{\sqrt{x^2+1}}}{\sqrt{x^2+1}}$  

•  $\frac{dy}{dx}=\frac{xe^{\sqrt{x^2+1}}}{\sqrt{x^2+1}}$  

What is the derivative of

 $y=xe^x$  

•  $\frac{dy}{dx}=e^x+xe^x$  

•  $\frac{dy}{dx}=e^x-xe^x$  

•  $\frac{dy}{dx}=xe^x$  

•  $\frac{dy}{dx}=e^x$  

What is the derivative of

 $y=\frac{e^x}{x}$  

•  $\frac{dy}{dx}=\frac{xe^x+e^x}{x}$  

•  $\frac{dy}{dx}=\frac{e^x-xe^x}{x^2}$  

•  $\frac{dy}{dx}=\frac{xe^x-e^x}{x^2}$  

•  $\frac{dy}{dx}=\frac{xe^x-e^x}{x}$  

What is the derivative of

 $y=\left(e^x+e^{-x}\right)^2$  

•  $\frac{dy}{dx}=e^x+e^{-x}$  

•  $\frac{dy}{dx}=e^{2x}+e^{-2x}$  

•  $\frac{dy}{dx}=2e^{2x}-2e^{-2x}$  

•  $\frac{dy}{dx}=2e^{2x}+2e^{-2x}$  

What is the derivative of

 $y=e^{4x}-2^{3x}$  

•  $\frac{dy}{dx}=4e^{4x}-6^{3x}$  

•  $\frac{dy}{dx}=4e^{4x}-2^{3x}\left(3\ln2\right)$  

•  $\frac{dy}{dx}=4e^{4x}-2^{3x}\left(3\right)$  

•  $\frac{dy}{dx}=e^{4x}-2^{3x}$