f(x) = sqrt(1 + cos^2(x^2)): find f'(sqrt(pi)/2)

1. A.
   $\frac{\sqrt{\pi}}{6}$
2. B.
   $- \sqrt{\frac{\pi}{6}}$
3. C.
   $\frac{\pi}{\sqrt{6}}$
4. D.
   $\sqrt{\frac{\pi}{6}}$

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1. A.
   $\sqrt{\dfrac{\pi}{6}}$
2. B.
   $\sqrt{\dfrac{\pi}{4}}$
3. C.
   $-\sqrt{\dfrac{\pi}{6}}$
4. D.
   $-\sqrt{\dfrac{\pi}{4}}$

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