What is the derivative of sin^2(3x) ?

The derivative of sin^2(3x) is 3sin(6x)

What is the first derivative of sin^2(3x) ?

The first derivative of sin^2(3x) is 3sin(6x)

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derivative of

sin^{2} (3 x)

3 sin (6 x)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d 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)

f (x) = (6 x - 2)^{\frac{1}{4}}, at x = 1

\frac{8}{t}

\int x sin (x) cos (x) d x

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

\frac{\partial}{\partial x} (4 x y - 10 x^{2} y^{2} z + 5 z^{2})

What is the derivative of sin^2(3x) ?
The derivative of sin^2(3x) is 3sin(6x)
What is the first derivative of sin^2(3x) ?
The first derivative of sin^2(3x) is 3sin(6x)