What is the derivative of e^{4x}+e^{-4x} ?

The derivative of e^{4x}+e^{-4x} is e^{4x}*4-4e^{-4x}

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

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

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derivative of

e^{4 x} + e^{- 4 x}

e^{4 x} \cdot 4 - 4 e^{- 4 x}

Solution steps

\frac{d}{d x} (e^{4 x} + e^{- 4 x})

Apply the Sum/Difference Rule:

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

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

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

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

= e^{4 x} \cdot 4 - 4 e^{- 4 x}

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