What is the derivative of e^x+2e^{2x} ?

The derivative of e^x+2e^{2x} is e^x+4e^{2x}

What is the first derivative of e^x+2e^{2x} ?

The first derivative of e^x+2e^{2x} is e^x+4e^{2x}

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derivative

e^{x} + 4 e^{2 x}

Solution steps

\frac{d}{d x} (e^{x} + 2 e^{2 x})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (e^{x}) + \frac{d}{d x} (2 e^{2 x})

\frac{d}{d x} (e^{x}) = e^{x}

\frac{d}{d x} (2 e^{2 x}) = 4 e^{2 x}

= e^{x} + 4 e^{2 x}

What is the derivative of e^x+2e^{2x} ?
The derivative of e^x+2e^{2x} is e^x+4e^{2x}
What is the first derivative of e^x+2e^{2x} ?
The first derivative of e^x+2e^{2x} is e^x+4e^{2x}