What is (\partial)/(\partial x)(sin(x)cos(iy)) ?

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

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(\partial)/(\partial x)(sin(x)cos(iy))

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

cos (i y) cos (x)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= cos (i y) cos (x)

\int x sin (\frac{1}{x}) d x

\int \frac{2}{2 x} d x

\frac{d}{d t} (2 cos (t) - 2)

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

\int y^{- 3} d y

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