1.

Let the equation of a curve is given in implicit form  as y = tan(x + y). Then d2y/dx2 in terms of y is :(A)   2(1 + y2)2/y2(B)   2(1 + y2)/y6(C)   -2(1 + y2)/y6(D)   -2(1 + y2)/y5

Answer»

Correct option (D)  (D)   -2(1 + y2)/y5

Write y = tan(x + y) as (x + y) tan-1  = y, then differentiating directly implicitly ,we get dy/dx = -2(1 + y2)/y5



Discussion

No Comment Found

Related InterviewSolutions