What is the derivative of 1/2 sin^2(x) ?

The derivative of 1/2 sin^2(x) is sin(x)cos(x)

What is the first derivative of 1/2 sin^2(x) ?

The first derivative of 1/2 sin^2(x) is sin(x)cos(x)

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derivative of

\frac{1}{2} sin^{2} (x)

sin (x) cos (x)

Solution steps

\frac{d}{d x} (\frac{1}{2} sin^{2} (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{2} \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)

= \frac{1}{2} \cdot 2 sin (x) cos (x)

Simplify

\frac{1}{2} \cdot 2 sin (x) cos (x) : sin (x) cos (x)

= sin (x) cos (x)

x \to - 1 lim ((1 + \frac{1}{x})^{x})

\int x^{3} - 2 x d x

x \to - 16 lim (14)

\frac{\partial}{\partial x} (2 cos^{2} (x))

\frac{\partial}{\partial y} (\frac{z}{x})

What is the derivative of 1/2 sin^2(x) ?
The derivative of 1/2 sin^2(x) is sin(x)cos(x)
What is the first derivative of 1/2 sin^2(x) ?
The first derivative of 1/2 sin^2(x) is sin(x)cos(x)