What is (\partial)/(\partial x)(sin(-5x-2y+z)) ?

The answer to (\partial)/(\partial x)(sin(-5x-2y+z)) is -5cos(-5x-2y+z)

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(\partial)/(\partial x)(sin(-5x-2y+z))

\frac{\partial}{\partial x} (sin (- 5 x - 2 y + z))

- 5 cos (- 5 x - 2 y + z)

Solution steps

\frac{\partial}{\partial x} (sin (- 5 x - 2 y + z))

Treat

y, z

as constants

Apply the chain rule:

cos (- 5 x - 2 y + z) \frac{\partial}{\partial x} (- 5 x - 2 y + z)

= cos (- 5 x - 2 y + z) \frac{\partial}{\partial x} (- 5 x - 2 y + z)

\frac{\partial}{\partial x} (- 5 x - 2 y + z) = - 5

= cos (- 5 x - 2 y + z) (- 5)

Simplify

= - 5 cos (- 5 x - 2 y + z)

x e^{- x}

\int_{0}^{\frac{π}{21}} cos (7 x) d x

\frac{141}{7 - 2}

f (x) = - 3 x - 2 3 x^{2}

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

What is (\partial)/(\partial x)(sin(-5x-2y+z)) ?
The answer to (\partial)/(\partial x)(sin(-5x-2y+z)) is -5cos(-5x-2y+z)