What is the first derivative of a+x ?

The first derivative of a+x is 1

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derivative of a+x

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

1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 0 + 1

Simplify

= 1

f (x) = x

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