What is the differentiation of 1/sinx ?

Solution :

We have, y = 1/sinx = cosecx

By using differentiation formula of cosecx,

$$dy\over dx$$ = -cosecx.cotx

Hence, the differentiation of 1/sinx = -cosecx.cotx

Questions for Practice

What is the differentiation of $$e^{sinx}$$ ?

What is the differentiation of sin square x or $$sin^2x$$ ?

What is the differentiation of cosx sinx ?

What is the differentiation of $$sin x^2$$ ?

What is the differentiation of log sin x ?