Thu February 21, 2013 By: Liyana Liyakath

y=sin^-1 [5x+12sqrt(1-x^2)/13] find dy/dx.Isn't two answers possible?

Expert Reply
Fri February 22, 2013
Actually, both the answers are correct because at the final step where you are computing cosu or sinu in terms of the x, you are taking the square root of (1-x^2) and since, whenever we take a root of any number, it can either be positive or negative. 
So, actually the answer would be dy/dx = 1/sqrt(1-x^2) or -1/sqrt(1-x^2).
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