Limits and Derivatives

Limits and Derivatives

Question

Find the derivatives of the following functions :

2 tan x - 7 sec x

Answer

Let y = 2tan x-7 sec x
Differentiating 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 dy over dx equals straight d over dx left parenthesis 2 space tan space straight x space minus space 7 space sec space straight x space right parenthesis space equals space straight d over dx left parenthesis 2 tan space straight x right parenthesis space minus straight d over dx left parenthesis 7 sec space straight x right parenthesis

          space space space space space space space space space space space space space space space space space space space space equals space 2 straight d over dx tan space straight x space minus 7 straight d over dx sec space straight x space equals space 2 space sex squared straight x space minus space 7 space sec space straight x space tan space straight x

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