What is (\partial)/(\partial x)(sin(x)cos(4y)) ?

The answer to (\partial)/(\partial x)(sin(x)cos(4y)) is cos(4y)cos(x)

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(\partial)/(\partial x)(sin(x)cos(4y))

\frac{\partial}{\partial x} (sin (x) cos (4 y))

cos (4 y) cos (x)

Solution steps

\frac{\partial}{\partial x} (sin (x) cos (4 y))

Treat

y

as a constant

Take the constant out:

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

= cos (4 y) \frac{\partial}{\partial x} (sin (x))

Apply the common derivative:

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

= cos (4 y) cos (x)

\int 3 x^{2} - 2 x d x

\frac{8 x}{5 - cot ( x )}

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

\int a e^{- b x} d x

\frac{d y}{d x} = y (1 - 0.0008 y)

What is (\partial)/(\partial x)(sin(x)cos(4y)) ?
The answer to (\partial)/(\partial x)(sin(x)cos(4y)) is cos(4y)cos(x)