What is the first derivative of 5x-e ?

The first derivative of 5x-e is 5

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derivative of 5x-e

\frac{d}{d x} (5 x - e)

5

Solution steps

\frac{d}{d x} (5 x - e)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x) - \frac{d e}{d x}

\frac{d}{d x} (5 x) = 5

\frac{d e}{d x} = 0

= 5 - 0

Simplify

= 5

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