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

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

Grade:12

1 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
8 years ago
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

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