What is the first derivative of x^1+n ?

The first derivative of x^1+n is 1

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derivative of x^1+n

derivative of

x^{1} + n

1

Solution steps

\frac{d}{d x} (x^{1} + n)

Simplify

x^{1} + n : x + n

= \frac{d}{d x} (x + n)

Apply the Sum/Difference Rule:

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

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

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

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

= 1 + 0

Simplify

= 1