Limits and Derivatives

Limits and Derivatives

Question

Find the derivatives of the following functions :

5 sec x + 4 cos x

Answer

Let y = 5 sec x + 4 cos x
Diffentiating  both sides w.r.t.  x, we get
space space space space space space space space space space space space space space space space space space space space space space space space space space space dy over dx equals straight d over dx left parenthesis 5 space sec space straight x space plus space 4 space cos space straight x right parenthesis space equals space 5 straight d over straight x left parenthesis sec space straight x right parenthesis space plus space 4 straight d over dx left parenthesis cos space straight x right parenthesis

                       = 5 (sec x tan x) + (-sin x) = 5 sec x tan x -4 sin x

More Chapters from Limits and Derivatives