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

The answer to (\partial)/(\partial x)(sin(3x)) is cos(3x)*3

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(\partial)/(\partial x)(sin(3x))

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

cos (3 x) \cdot 3

Solution steps

\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

= cos (3 x) \cdot 3

What is (\partial)/(\partial x)(sin(3x)) ?
The answer to (\partial)/(\partial x)(sin(3x)) is cos(3x)*3