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

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

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

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

3 x^{2} + y

Solution steps

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

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

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

= 3 x^{2} + y

\frac{d}{d x} (x^{4} sec (y))

x^{6} + y^{5} x^{7} + 3 y^{^{'}} = 0

y = t (ln (2 t))^{2}

\frac{1}{3 - x}

\int \frac{- 1}{2} cos (2 x) d x

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