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

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

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

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

2 x sin^{2} (y)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 2 x sin^{2} (y)

\frac{\partial}{\partial x} (y^{3} sin (4 x))

\int \frac{1}{x + x ^{2} + 1} d x

x \to - 1 - lim (x + 1)

\frac{d}{d x} (tan (a x))

\frac{d}{d x} ((sin (2 x)) 7777774)

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