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Science & Mathematics by Anonymous 2018-06-28 19:32:54
Social Science
If √y=(sin√x) then dy/dx = ? what if I take a square on both sides? wont the problem reduce to y= sin^2x? but the answer is sin2√x /(2√x).?
3 answers
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Anonymous
Squaring both sides gives Y = sin^2 (sqrt x)
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Anonymous
Why exactly would it become y = sin(x)^2? How does that make any sense? sqrt(y) = sin(sqrt(x)) y = sin(sqrt(x))^2 y' = 2 * sin(sqrt(x)) * cos(sqrt(x)) * (1/2) * x^(-1/2) y' = sin(2 * sqrt(x)) / (2 * sqrt(x))
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Anonymous
y = sin^2(sqrt(x)); sin^2(z) = (1 - cos(2z))/2; y = (1/2) - (cos(2*sqrt(x))/2); y' = sin(2*sqrt(x))/2 * (1/sqrt(x)); y' = sin(2*sqrt(x))/(2*sqrt(x)); with y(0) = 0;
