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

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (1) = 0

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

= 0 - (- sin (\frac{x}{2}) \frac{1}{2})

Simplify

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

\frac{d}{d x} (e^{x f (x)})

\int sec (t) (4 sec (t) + 3 tan (t)) d t

\frac{\partial}{\partial y} (y ln (x^{2} + y^{3} + 5))

\int d x d x

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

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