What is (\partial)/(\partial x)(sin(5x-9y)) ?

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

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(\partial)/(\partial x)(sin(5x-9y))

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

cos (5 x - 9 y) \cdot 5

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

cos (5 x - 9 y) \frac{\partial}{\partial x} (5 x - 9 y)

= cos (5 x - 9 y) \frac{\partial}{\partial x} (5 x - 9 y)

\frac{\partial}{\partial x} (5 x - 9 y) = 5

= cos (5 x - 9 y) \cdot 5

\frac{d}{d x} (x^{5} + 3)

y = x^{2} + x + 1

\frac{\partial}{\partial z} (e^{x y} + x^{2} z)

x \to 0 - lim (\frac{7}{1 + e ^{\frac{1}{x}}})

\frac{\partial}{\partial x} (x \cdot cos (y) \cdot sin (z))

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