What is (\partial)/(\partial y)(5xsin(y)) ?

The answer to (\partial)/(\partial y)(5xsin(y)) is 5xcos(y)

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(\partial)/(\partial y)(5xsin(y))

\frac{\partial}{\partial y} (5 x sin (y))

5 x cos (y)

Solution steps

\frac{\partial}{\partial y} (5 x sin (y))

Treat

x

as a constant

Take the constant out:

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

= 5 x \frac{\partial}{\partial y} (sin (y))

Apply the common derivative:

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

= 5 x cos (y)

3 x^{2}

\int x^{- 3} d x

\frac{\partial}{\partial x} (x^{7} y z^{2} + 6 yz)

\frac{\partial}{\partial x} (e^{- (x^{7} + y^{7})})

\frac{d y}{d x} = e^{x + y} + x^{2} e^{y}

What is (\partial)/(\partial y)(5xsin(y)) ?
The answer to (\partial)/(\partial y)(5xsin(y)) is 5xcos(y)