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

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

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

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

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derivative of

sin^{2} (x)

sin (2 x)

Solution steps

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

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)

\int x e^{x^{2} + 2} d x

x \to 4 - lim (ln (x - 4))

\int - e^{- 4 x} d x

\frac{d}{d x} ((3 x + 4)^{2})

x \to - 2 lim (1 - 3 x)

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