What is the first derivative of x-a ?

The first derivative of x-a is 1

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derivative of x-a

\frac{d}{d x} (x - a)

1

Solution steps

\frac{d}{d x} (x - a)

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} - \frac{d a}{d x}

\frac{d x}{d x} = 1

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

= 1 - 0

Simplify

= 1

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