What is the first derivative of 1-10x ?

The first derivative of 1-10x is -10

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derivative of 1-10x

\frac{d}{d x} (1 - 10 x)

- 10

Solution steps

\frac{d}{d x} (1 - 10 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1) - \frac{d}{d x} (10 x)

\frac{d}{d x} (1) = 0

\frac{d}{d x} (10 x) = 10

= 0 - 10

Simplify

= - 10