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

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

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

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

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derivative of

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

sin (x) cos (x)

Solution steps

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

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)

3 x^{2} - 1

e^{2} x + 3

sin^{2} (2 x + 1)

f (x) = 3 x^{2} + 2 x - 1

f (x) = 4 + x

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