What is (\partial)/(\partial x)(cos(5x+9y+4z)) ?

The answer to (\partial)/(\partial x)(cos(5x+9y+4z)) is -sin(5x+9y+4z)*5

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(\partial)/(\partial x)(cos(5x+9y+4z))

\frac{\partial}{\partial x} (cos (5 x + 9 y + 4 z))

- sin (5 x + 9 y + 4 z) \cdot 5

Solution steps

\frac{\partial}{\partial x} (cos (5 x + 9 y + 4 z))

Treat

y, z

as constants

Apply the chain rule:

- sin (5 x + 9 y + 4 z) \frac{\partial}{\partial x} (5 x + 9 y + 4 z)

= - sin (5 x + 9 y + 4 z) \frac{\partial}{\partial x} (5 x + 9 y + 4 z)

\frac{\partial}{\partial x} (5 x + 9 y + 4 z) = 5

= - sin (5 x + 9 y + 4 z) \cdot 5

y^{^{'}} = y - y^{2}, y (0) = 10

\frac{d}{d x} (2 x^{\frac{9}{2}})

\frac{d}{d x} (sin (x) x^{- 2})

\int e^{- n x} d x

(x \frac{d y}{d x} + 2 y) = 3

What is (\partial)/(\partial x)(cos(5x+9y+4z)) ?
The answer to (\partial)/(\partial x)(cos(5x+9y+4z)) is -sin(5x+9y+4z)*5