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

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

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

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

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derivative of

f (x) = (sin (x))^{2}

sin (2 x)

Solution steps

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

Apply the chain rule:

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

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

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

= 2 sin (x) cos (x)

Use the Double Angle identity:

2 sin (x) cos (x) = sin (2 x)

= sin (2 x)

x^{2} + 1, 0, 2

\frac{\partial}{\partial x} (f (x, y) (x y))

x \to 0 - lim (\frac{4 - x}{x})

\int \frac{x ^{2} + 1}{x ( x - 1 ) ^{3}} d x

\int sin (3 x) sin (2 x) d x

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