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

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

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

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

1

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 1 + 0

Simplify

= 1

\frac{3}{s ^{2} + 6 s + 10}

2 cos^{3} (t)

\int e^{\frac{1}{3} x} d x

x \to - 2 + lim (x + 2)

\frac{d}{d x} (\frac{x}{1 - ln ( x - 1 )})

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