Sticking in that (1/2) simply doubles the period to 4?. -sin((1/2)x) = 0 Multiply both sides by (-1) sin(x/2) = 0 (x/2) = k *? For any integer k.
X = 2k? Are the roots for any integer k. Chain Rule you = x/2..............du/dx = (1/2) y = -sin(u)............dy/du = -cos(u) dy/dx = dy/du * du/dx = -cos(x/2) * (1/2) <----------- First derivative d^2y/dx^2 = (1/2) * (1/2) * sin(x/2) = (1/4) * sin(x/2) <------ Second derivative Set the first derivative equal to 0 -cos(x/2) * (1/2) = 0 ........... Multiply both sides by -1/2 cos(x/2) = 0.
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