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)

l a pl a ce t r an s f or m x e^{- x}

\int_{0}^{\frac{π}{21}} cos (7 x) d x

d er i v a t i v e \frac{141}{7 - 2}

t an g e n t f (x) = 4 x^{2} + 2 x, at x = - 2

in v erse l a pl a ce \frac{1}{s ^{2} + 6 s + 8}

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