What is the first derivative of 10x+1 ?

The first derivative of 10x+1 is 10

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derivative of 10x+1

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

10

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 10 + 0

Simplify

= 10

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