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

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

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

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

2 x y

Solution steps

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

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= y \cdot 2 x^{2 - 1}

Simplify

= 2 x y

y = lo g_{3} (sin (x^{2}))

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

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

\frac{d}{d x} (10 arctan (x))

x \to - 2 lim (4 - x)

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