What is the derivative of this function #sin (x/2)#?

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What is the derivative of this function #sin (x/2)#?

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Answer 1 · 2017-12-15T01:13:30

#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 (x/2)#?

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