How do you find the derivative of r= 2theta sqrt(sec theta) using the chain rule?

1 Answer
Sep 16, 2017

(dr)/(d theta)=sqrtsectheta (2+thetatantheta)

Explanation:

r=2thetasqrtsectheta
Differentiating both sides with respect to theta we get
(dr)/(d theta)=2sqrtsectheta + 2theta×1/(2sqrtsectheta)secthetatantheta
=2sqrtsectheta+thetasqrtsecthetatantheta
=sqrtsectheta (2+thetatantheta)