How do you differentiate $f (x) = \frac{x}{sin x}$ $f(x) = x/sinx$ ?

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Answer 1 · 2015-11-04T09:46:00

$f'(x)=(sinx-xcosx)/(sin^2x)$

you have a function like this

$y=u/v$

Then you have to use this Equation

$y'=(u'*v-u*v')/v^2$

$f(x)=x/(sinx)$

$f'(x)=(x'*sinx-x*sinx')/(sinx)^2$

$f'(x)=(1*sinx-x*cosx)/(sinx)^2=(sinx-xcosx)/(sin^2x)$

How do you differentiate f(x) = x/sinxf(x)=xsinxf(x) = x/sinx?