What is (\partial)/(\partial x)(x^3+y) ?

The answer to (\partial)/(\partial x)(x^3+y) is 3x^2

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(\partial)/(\partial x)(x^3+y)

\frac{\partial}{\partial x} (x^{3} + y)

3 x^{2}

Solution steps

\frac{\partial}{\partial x} (x^{3} + y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (x^{3}) + \frac{\partial}{\partial x} (y)

\frac{\partial}{\partial x} (x^{3}) = 3 x^{2}

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

= 3 x^{2} + 0

Simplify

= 3 x^{2}

f (x) = 2 x^{2} + 1, (1, 3)

\frac{d}{d x} (x ln (x^{2} + 5))

\int_{1}^{10} \frac{1}{x ^{3}} d x

\frac{\partial}{\partial x} (4 cos (x y^{2}))

\int (x^{3} - \frac{1}{2 x} + 1) d x

What is (\partial)/(\partial x)(x^3+y) ?
The answer to (\partial)/(\partial x)(x^3+y) is 3x^2