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

The answer to (\partial)/(\partial x)(x^2sin(y)) is 2xsin(y)

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

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

2 x sin (y)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

= sin (y) \cdot 2 x^{2 - 1}

Simplify

= 2 x sin (y)

\frac{d}{d x} ((5 x + 7)^{2})

\int_{0}^{0.3} 600 x d x

f (x) = 2 ln (x)

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

What is (\partial)/(\partial x)(x^2sin(y)) ?
The answer to (\partial)/(\partial x)(x^2sin(y)) is 2xsin(y)