What is (\partial)/(\partial x)(sin(pixy)) ?

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

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(\partial)/(\partial x)(sin(pixy))

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

cos (p i x y) i p y

Solution steps

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

Treat

p, y

as a constant

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (p i x y) = i p y

= cos (p i x y) i p y

\int (2 + 5 x^{4}) x^{3} d x

\int \frac{1}{x 400 x ^{2} - 400} d x

\int \frac{1}{x ^{3} - 8} d x

f (x) = (7 x^{2} - 11 x) e^{x}

\frac{\partial}{\partial z} (x - z - arctan (yz))

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