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

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

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

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

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derivative of

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

sin (\frac{x}{2})

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

x \to \infty lim (arctan (4 x))

f (x) = ln (3 x + 4), (2, ln (10))

- 5 cos (3 t)

f (t) = 2 t^{3} + t

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

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