Derivative of eze^{z}

The calculator will find the derivative of eze^{z}, with steps shown.

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Your Input

Find ddz(ez)\frac{d}{dz} \left(e^{z}\right).

Solution

The derivative of the exponential is ddz(ez)=ez\frac{d}{dz} \left(e^{z}\right) = e^{z}:

(ddz(ez))=(ez){\color{red}\left(\frac{d}{dz} \left(e^{z}\right)\right)} = {\color{red}\left(e^{z}\right)}

Thus, ddz(ez)=ez\frac{d}{dz} \left(e^{z}\right) = e^{z}.

Answer

ddz(ez)=ez\frac{d}{dz} \left(e^{z}\right) = e^{z}A