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

The derivative of e^{2x}+e^{-x} is e^{2x}*2-e^{-x}

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

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

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derivative of

e^{2 x} + e^{- x}

e^{2 x} \cdot 2 - e^{- x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= e^{2 x} \cdot 2 - e^{- x}

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