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differentiate the following function with respect to x tan^-1(x/1+6(x)^2)

differentiate the following function with respect to x
tan^-1(x/1+6(x)^2)

Grade:12

1 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
7 years ago
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

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