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

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

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

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

2 y x + y

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 2 y x + y

\int_{0}^{\frac{π}{2}} sin^{4} (x) d x

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

\frac{d}{d x} (9 x^{5})

\int (ln (17 x))^{2} d x

x \to \infty lim (\frac{8}{10})

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