What is (\partial)/(\partial x)(y^2+x) ?

The answer to (\partial)/(\partial x)(y^2+x) is 1

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(\partial)/(\partial x)(y^2+x)

\frac{\partial}{\partial x} (y^{2} + x)

1

Solution steps

\frac{\partial}{\partial x} (y^{2} + x)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (y^{2}) + \frac{\partial}{\partial x} (x)

\frac{\partial}{\partial x} (y^{2}) = 0

\frac{\partial}{\partial x} (x) = 1

= 0 + 1

Simplify

= 1

\int e^{500 x} d x

\frac{d}{d x} (sin (5))

\frac{\partial}{\partial x} (x^{5 y})

f (x) = \frac{8}{x}

\frac{d}{d x} (ln (x^{4} sin^{2} (x)))

What is (\partial)/(\partial x)(y^2+x) ?
The answer to (\partial)/(\partial x)(y^2+x) is 1