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

The derivative of sin^2(6x) is 12sin(6x)cos(6x)

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

The first derivative of sin^2(6x) is 12sin(6x)cos(6x)

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\frac{d}{d x} (sin^{2} (6 x))

12 sin (6 x) cos (6 x)

Solution steps

\frac{d}{d x} (sin^{2} (6 x))

Apply the chain rule:

2 sin (6 x) \frac{d}{d x} (sin (6 x))

= 2 sin (6 x) \frac{d}{d x} (sin (6 x))

\frac{d}{d x} (sin (6 x)) = cos (6 x) \cdot 6

= 2 sin (6 x) cos (6 x) \cdot 6

Simplify

= 12 sin (6 x) cos (6 x)

\frac{d}{d x} (1 + x - 1)

(x^{3} - 25 x^{2})^{^{'}}

\int arctan (\frac{2 x}{1 - x ^{2}}) d x

\frac{\partial}{\partial x} (1 + 3 x + 2 y^{2})

\frac{\partial}{\partial y} (\frac{y}{7 x})

What is the derivative of sin^2(6x) ?
The derivative of sin^2(6x) is 12sin(6x)cos(6x)
What is the first derivative of sin^2(6x) ?
The first derivative of sin^2(6x) is 12sin(6x)cos(6x)