What is (\partial)/(\partial x)(-36ysin(9x)) ?

The answer to (\partial)/(\partial x)(-36ysin(9x)) is -324ycos(9x)

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(\partial)/(\partial x)(-36ysin(9x))

\frac{\partial}{\partial x} (- 36 y sin (9 x))

- 324 y cos (9 x)

Solution steps

\frac{\partial}{\partial x} (- 36 y sin (9 x))

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - 36 y \frac{\partial}{\partial x} (sin (9 x))

Apply the chain rule:

cos (9 x) \frac{\partial}{\partial x} (9 x)

= cos (9 x) \frac{\partial}{\partial x} (9 x)

\frac{\partial}{\partial x} (9 x) = 9

= - 36 y cos (9 x) \cdot 9

Simplify

= - 324 y cos (9 x)

\frac{\partial}{\partial x} (3 x - 2 y^{4})

x \to 2 + lim (\frac{- 3}{x - 2})

x \to - 5 - lim (\frac{x + 3}{x + 5})

y^{^{'}} - x y = x^{2} e^{\frac{x ^{2}}{2}}

\int - \frac{3 x ^{2}}{32} + \frac{3 x}{8} d x

What is (\partial)/(\partial x)(-36ysin(9x)) ?
The answer to (\partial)/(\partial x)(-36ysin(9x)) is -324ycos(9x)