Processing Math: Done
Lösung 1.2:2c
Aus Online Mathematik Brückenkurs 2
When we see this expression, we should think "root of something",
and in order to differentiate it, we should first differentiate the outer function , "the root of", with respect to its argument and, after that, multiply by the derivative of the inner functional expression
=cosx
cosx
=12
cosx
cosx
where we have used the differentiation rule
x=ddxx1
2=21x21−1=21x−21=12
x
Thus, we obtain
cosx=12
cosx
−sinx
=−sinx2
cosx