how do not understand how to find a deriviative of this function?Do i use chain rule and product rule?

Question

r= the square root of (theta*sin*theta)

No one has answered this question yet.

Answer 1

ok, if f(u) exists, and u=G(x)
then

y= f(u)
dy/dx= d(f(u)/du * du/dx

but u=G(x)
so du/dx= G'

Now in practice.
r= sqrt(Theta*sinTheta)

dr/dtheta= 1/2 (1/sqrt(Theta*sinTheta))* d(theta*sinTheta)/dtheta
and d(theta*sinTheta)/dtheta= sinTheta+ theta*cosTheta.