How do you differentiate $sin (x/2)$ ?

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How do you differentiate $sin (x/2)$ ?

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Answer 1 · 2016-06-15T06:07:50

$cos(x/2) * 1/2$

Explanation:

Using the chain rule;
Differentiate the outer function, and then multiply it by the inner function. In this case $sin$ is the outer function and $x/2$ is the inner function.

The derivative of $sin(x) = cos(x)$ and the derivative of $x/2 = 1/2$ .

So our final answer when differentiating $sin(x/2)$ with respect to x is --> $cos(x/2) * 1/2$

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How do you differentiate $sin (x/2)$ ?

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