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Grade: 12
        
differentiate the following function with respect to x
tan^-1(x/1+6(x)^2)
3 years ago

Answers : (1)

Rinkoo Gupta
askIITians Faculty
80 Points
							y=tan-1(x/(1+6x2))
dy/dx=1/[1+{x/(1+6x2)}2]. [(1+6x2).1-x(12x)]/(1+6x2)2
on simplifying, we get
dy/dx=(1-6x2)/(9x2+1)(4x2+1)

Thanks & Regards
Rinkoo Gupta
AskIITians Faculty
3 years ago
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