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

The derivative of sin^2(2x) is 2sin(4x)

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

The first derivative of sin^2(2x) is 2sin(4x)

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

2 sin (4 x)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (sin (2 x)) = cos (2 x) \cdot 2

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

Simplify

2 sin (2 x) cos (2 x) \cdot 2 : 2 sin (4 x)

= 2 sin (4 x)

y = - x^{2} + 62

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

\frac{x ^{2} + x + 1}{2 x}

\int \frac{8 x}{8 x + 3} d x

What is the derivative of sin^2(2x) ?
The derivative of sin^2(2x) is 2sin(4x)
What is the first derivative of sin^2(2x) ?
The first derivative of sin^2(2x) is 2sin(4x)