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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 |
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