What is (\partial)/(\partial x)(sin^2(3x)) ?

The answer to (\partial)/(\partial x)(sin^2(3x)) is 3sin(6x)

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(\partial)/(\partial x)(sin^2(3x))

\frac{\partial}{\partial x} (sin^{2} (3 x))

3 sin (6 x)

Solution steps

\frac{\partial}{\partial x} (sin^{2} (3 x))

Apply the chain rule:

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

= 2 sin (3 x) \frac{\partial}{\partial x} (sin (3 x))

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

= 2 sin (3 x) cos (3 x) \cdot 3

Simplify

2 sin (3 x) cos (3 x) \cdot 3 : 3 sin (6 x)

= 3 sin (6 x)

\int csc^{9} (x) d x

x \to 0 lim (x^{2} - 3 x + 3)

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

x \to 0 + lim (\frac{3}{x})

\int x^{27} e^{x^{28}} d x

What is (\partial)/(\partial x)(sin^2(3x)) ?
The answer to (\partial)/(\partial x)(sin^2(3x)) is 3sin(6x)