Derivative of $$$e^{u} + 5$$$
The calculator will find the derivative of $$$e^{u} + 5$$$, with steps shown.
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Your Input
Find $$$\frac{d}{du} \left(e^{u} + 5\right)$$$.
Solution
The derivative of a sum/difference is the sum/difference of derivatives:
$${\color{red}\left(\frac{d}{du} \left(e^{u} + 5\right)\right)} = {\color{red}\left(\frac{d}{du} \left(e^{u}\right) + \frac{d}{du} \left(5\right)\right)}$$The derivative of a constant is $$$0$$$:
$${\color{red}\left(\frac{d}{du} \left(5\right)\right)} + \frac{d}{du} \left(e^{u}\right) = {\color{red}\left(0\right)} + \frac{d}{du} \left(e^{u}\right)$$The derivative of the exponential is $$$\frac{d}{du} \left(e^{u}\right) = e^{u}$$$:
$${\color{red}\left(\frac{d}{du} \left(e^{u}\right)\right)} = {\color{red}\left(e^{u}\right)}$$Thus, $$$\frac{d}{du} \left(e^{u} + 5\right) = e^{u}$$$.
Answer
$$$\frac{d}{du} \left(e^{u} + 5\right) = e^{u}$$$A