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

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

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

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

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

3 sin (6 x)

Solution steps

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

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) = x x - x^{2}

e^{x}, ln (12)

\frac{d}{d x} (x^{2} sin (\frac{1}{x ^{2}}))

x \to 0 lim (\frac{9}{x})

\frac{d y}{d x} = - \frac{1 + x + y}{1 + x}

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