What is (\partial)/(\partial x)(ysin(3x)) ?

The answer to (\partial)/(\partial x)(ysin(3x)) is ycos(3x)*3

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(\partial)/(\partial x)(ysin(3x))

\frac{\partial}{\partial x} (y sin (3 x))

y cos (3 x) \cdot 3

Solution steps

\frac{\partial}{\partial x} (y sin (3 x))

Treat

y

as a constant

Take the constant out:

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

= y \frac{\partial}{\partial x} (sin (3 x))

Apply the chain rule:

cos (3 x) \frac{\partial}{\partial x} (3 x)

= cos (3 x) \frac{\partial}{\partial x} (3 x)

\frac{\partial}{\partial x} (3 x) = 3

= y cos (3 x) \cdot 3

\int \frac{- 8 x + 5}{x ^{3} + 4 x} d x

x \to 36 lim (x^{\frac{3}{2}})

y^{^{''}} + x = 7 y

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

\frac{\partial}{\partial x} (z^{2} x)

What is (\partial)/(\partial x)(ysin(3x)) ?
The answer to (\partial)/(\partial x)(ysin(3x)) is ycos(3x)*3