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

1 Answer

Aug 1, 2016

#1/2cos(x/2)#

Explanation:

We use the chain rule, as we have #y(u(x))#

#(dy)/(dx) = (dy)/(du)(du)/(dx)#

#u = x/2 implies (du)/(dx) = 1/2#

#y = sin(u) implies (dy)/(du) = cos(u)#

#therefore (dy)/(dx) = cos(u)*1/2 = 1/2cos(x/2)#

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