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

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

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

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

2 x

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 0 + 2 x

Simplify

= 2 x

x y^{^{'}} + 2 y = - 4 x

\frac{d}{d x} ((x^{3})^{5})

\int \frac{1}{u 2 - u ^{2}} d u

n = 1 \sum \infty \frac{1}{2}

n = 0 \sum \infty 1 + \frac{1}{n}

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