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

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

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

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

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