What is (\partial)/(\partial x)(cos(xz)) ?

The answer to (\partial)/(\partial x)(cos(xz)) is -sin(xz)z

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(\partial)/(\partial x)(cos(xz))

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

- sin (x z) z

Solution steps

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

Treat

z

as a constant

Apply the chain rule:

- sin (x z) \frac{\partial}{\partial x} (x z)

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

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

= - sin (x z) z

4 y^{^{''}} + y = - 4 cos (\frac{x}{2}) - 8 x sin (\frac{x}{2})

\frac{( x ^{2} )}{3 + 2 x}

\frac{\partial}{\partial x} ((x - 3)^{2})

\frac{d}{d x} ((x^{3} - x)^{4})

\int_{0}^{\infty} \frac{2}{1 + x ^{2}} d x

What is (\partial)/(\partial x)(cos(xz)) ?
The answer to (\partial)/(\partial x)(cos(xz)) is -sin(xz)z