Differentiate w.r.t x, y= x tan x/secx+tanx

Asked by Shambhu Nath Pandey | 29th Jun, 2016, 05:14: PM

Expert Answer:

y equals fraction numerator x tan x over denominator s e c x plus tan x end fraction
rightwards double arrow y open parentheses s e c x plus tan x close parentheses equals x tan x
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y apostrophe open parentheses s e c x plus tan x close parentheses plus y open parentheses s e c x tan x plus s e c squared x close parentheses equals x s e c squared x plus tan x
R e p l a c i n g space apostrophe y apostrophe space b y space fraction numerator x t a n x over denominator s e c x plus t a n x end fraction comma space w e space g e t
y apostrophe open parentheses s e c x plus t a n x close parentheses plus fraction numerator x t a n x over denominator s e c x plus t a n x end fraction open parentheses s e c x t a n x plus s e c squared x close parentheses equals x s e c squared x plus t a n x
N o w space t a k e space a l l space t h e space t e r m s space o t h e r space t h a n space y apostrophe space t o space r i g h t space h a n d space s i d e space a n d space s i m p l i f y.

Answered by  | 4th Jul, 2016, 06:01: PM

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