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

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

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(\partial)/(\partial y)(xsin(yz))

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

x cos (yz) z

Solution steps

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

Treat

x, z

as constants

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= x cos (yz) z

x^{2} - x

x \to 0 lim (\frac{∣ x ∣}{2 x})

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

\int \frac{5}{x ^{2} - 1} d x

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

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