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Grade: 12
        
differentiate the following function with respect to x
tan^-1(a + bx / b – ax)
4 years ago

Answers : (1)

Rinkoo Gupta
askIITians Faculty
80 Points
							dy/dx=1/[1+{(a+bx)/(b-ax)}2]. [(b-ax).b-(a+bx).(-a)]/(b-ax)2]
=1/{a2+b2x2+2abx+b2+a2x2-2abx} .(a2+b2)
=(a2+b2)/(a2+b2)(1+x2)
=1/(1+x2)
Thanks & Regards
Rinkoo Gupta
AskIITians Faculty
4 years ago
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