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

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

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

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

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derivative of

f (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)

\int csc^{2} (x co) t^{2} x d x

y = - 3 x^{3} + x^{2} + 10 x, x = - \frac{5}{3}, x = 2

x \to a lim (x + x - 4)

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

x \to c lim (5 + 3 (- 2))

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