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differentiate the following function with respect to x tan^-1(a + b tan x / b – a tan x)

differentiate the following function with respect to x
tan^-1(a + b tan x / b – a tan x)

Grade:12

1 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
7 years ago
y=tan-1(a+btanx)/(b-atanx)
dy/dx=1/[1+{(a+btanx)/(b-atanx)}2]. [(b-atanx).bsec2x-(a+btanx).(-asec2x)]/(b-atanx)2
=1/{(b-atanx)2+(a+btanx)2}.(b2+a2)sec2x
=1
Thanks & Regards
Rinkoo Gupta
AskIITians Faculty

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