What is the first derivative of x+y ?

The first derivative of x+y is 1

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derivative of x+y

derivative of

x + y

1

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 1 + 0

Simplify

= 1

\int \frac{1 - x}{1 + x} d x

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