What is (\partial)/(\partial z)(xcos(z)) ?

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

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(\partial)/(\partial z)(xcos(z))

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

- x sin (z)

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial z} (cos (z)) = - sin (z)

= x (- sin (z))

Simplify

= - x sin (z)

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

\frac{\partial}{\partial x} (3 y - 7)

y^{^{'}} = (t + y)^{2} - 1, y (3) = 4

\int z (z^{2} - \frac{1}{4 z}) d z

\int_{0}^{1} x e^{x^{2}} d x

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