What is the derivative of this function $sin (\frac{x}{2})$ $sin (x/2)$ ?

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What is the derivative of this function $sin (\frac{x}{2})$ $sin (x/2)$ ?

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Answer 1 · 2017-12-15T01:13:30

$\frac{1}{2} cos (\frac{x}{2})$ $1/2cos(x/2)$ apply the chain rule and the derivatives of trig functions.

Explanation:

$F(x)=f'(g(x))*g'(x)$ is the chain rule and the derivative of $sinx$ is $cosx$ but we have a more complicated function inside the function, hence the chain rule.
$F(x)=cos(x/2)*d/dx(1/2*x)$

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What is the derivative of this function $sin (\frac{x}{2})$ $sin (x/2)$ ?

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