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

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

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

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

Popular >

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

sin^{2} (x)

Solution steps

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

Take the constant out:

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

= \frac{1}{2} \frac{d}{d x} (x - \frac{1}{2} sin (2 x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{1}{2} (\frac{d x}{d x} - \frac{d}{d x} (\frac{1}{2} sin (2 x)))

\frac{d x}{d x} = 1

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

= \frac{1}{2} (1 - cos (2 x))

Rewrite using trig identities

= sin^{2} (x)

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

\frac{\partial}{\partial y} (3 x^{2} y - y^{3})

\frac{d}{d x} (x^{2} arctan (ln (x)))

\int \frac{ln ( 4 x )}{4 x ^{2}} d x

e^{x^{2} - 9}

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