I have the equation:(adsbygoogle = window.adsbygoogle || []).push({});

x = 2*L*sin(θ/2) and in my lecture notes they have converted it to: ϑx = L*cos(θ/2)*ϑθ

Is it correct to do the following to get this answer?

x = 2*L*sin(θ/2)

x = 2*L*sin(θ/2)*(ϑ(θ/2)/ϑx)

x*ϑx = 2*L*sin(θ/2)*ϑ(θ/2)

1*ϑx = (1/2)*2*L*cos(θ/2)*ϑθ

ϑx = L*cos(θ/2)*ϑθ

My problem is I don't see how you can keep ϑx and ϑθ after the differentiation operation has been done, and if it is correct to be able to separate ϑ(θ/2) into (1/2)*ϑθ ?

Any help would be appreciated, Thanks.

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# Simple Differentiation - Is this legal / correct method?

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