What is the first derivative of 2-5x ?

The first derivative of 2-5x is -5

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derivative of 2-5x

\frac{d}{d x} (2 - 5 x)

- 5

Solution steps

\frac{d}{d x} (2 - 5 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2) - \frac{d}{d x} (5 x)

\frac{d}{d x} (2) = 0

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

= 0 - 5

Simplify

= - 5

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