What is (\partial)/(\partial z)(sin(yz)) ?

The answer to (\partial)/(\partial z)(sin(yz)) is cos(yz)y

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(\partial)/(\partial z)(sin(yz))

\frac{\partial}{\partial z} (sin (yz))

cos (yz) y

Solution steps

\frac{\partial}{\partial z} (sin (yz))

Treat

y

as a constant

Apply the chain rule:

cos (yz) \frac{\partial}{\partial z} (yz)

= cos (yz) \frac{\partial}{\partial z} (yz)

\frac{\partial}{\partial z} (yz) = y

= cos (yz) y

\int 12 sin^{2} (x) cos^{3} (x) d x

\frac{d}{d x} (tan (2 x + 4))

cos (\frac{t}{2})

\frac{d}{d x} (2 x + x)

\frac{\partial}{\partial x} (x^{2} + y^{2} + (21 - x - y)^{2})

What is (\partial)/(\partial z)(sin(yz)) ?
The answer to (\partial)/(\partial z)(sin(yz)) is cos(yz)y