Limits and Derivatives

Limits and Derivatives

Question

Find the derivatives of the following functions :

5 sin x - 6 cos x +7

Answer

Let y = 5 sin x - 6 cos x +7
Differntiating both sides w.r.t. x, we get.
space space space space space space space space space space space space space space space dy over dx equals space straight d over dx left parenthesis 5 space sin space straight x space minus space 6 space cos space straight x space plus space 7 right parenthesis space equals space 5 space straight d over dx left parenthesis sin space straight x right parenthesis space minus space 6 straight d over dx cos space straight x space plus space straight d over dx left parenthesis 7 right parenthesis
               = 5cos x - 6(-sin x)+0 - 5 cos x + 6 sin x

More Chapters from Limits and Derivatives