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

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

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

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

y^{2} cos (x)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial x} (sin (x)) = cos (x)

= y^{2} cos (x)

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