Derivative of eue^{u}

The calculator will find the derivative of eue^{u}, with steps shown.

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Your Input

Find ddu(eu)\frac{d}{du} \left(e^{u}\right).

Solution

The derivative of the exponential is ddu(eu)=eu\frac{d}{du} \left(e^{u}\right) = e^{u}:

(ddu(eu))=(eu){\color{red}\left(\frac{d}{du} \left(e^{u}\right)\right)} = {\color{red}\left(e^{u}\right)}

Thus, ddu(eu)=eu\frac{d}{du} \left(e^{u}\right) = e^{u}.

Answer

ddu(eu)=eu\frac{d}{du} \left(e^{u}\right) = e^{u}A