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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derivative of

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)

\int \frac{1 - x}{e ^{x}} d x

\int t sec^{2} (2 t) d t

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

\frac{d}{d x} ((3 x^{2} + ln (x)) (5 x^{3})^{x})

f (t) = t^{\frac{5}{3}} e^{t}

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)