Derivative of sin^-1 or cos^-1 of 2t/(1 + t^2) or (1 - t^2)/(1 + t^2) forms

1. A.
   $\sqrt{3}\log(\sqrt{3})$
2. B.
   $-\sqrt{3}\log 3$
3. C.
   $-\sqrt{3}\log(3)$
4. D.
   $\sqrt{3}\log 3$

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1. A.
   $\frac{x^2+1}{x^2-1}$
2. B.
   $\frac{2}{1+x^2}$
3. C.
   $\frac{-1}{1+x^2}$
4. D.
   $\frac{-2}{1+x^2}$

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

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1. A.
   $\frac{2a^2x}{x^4+a^4}$
2. B.
   $\frac{2a^2x^2}{\sqrt{x^4+a^4}}$
3. C.
   $\frac{a^2x^2}{x^4+a^4}$
4. D.
   $\frac{a^2x^2}{2\sqrt{x^4+a^4}}$

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1. A.
   $\frac{2}{e}$
2. B.
   $\frac{1}{2e}$
3. C.
   $e$
4. D.
   $\frac{1}{e}$

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1. A.
   1
2. B.
   $\frac{1}{2}$
3. C.
   0
4. D.
   $\frac{1}{4}$

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1. A.
   $\dfrac{4\log 2}{5}$
2. B.
   $\dfrac{\log 2}{5}$
3. C.
   $\dfrac{2\log 8}{5}$
4. D.
   $\dfrac{5\log 8}{2}$

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1. A.
   $-\dfrac{5}{13}$
2. B.
   $\dfrac{5}{13}$
3. C.
   $\dfrac{13}{5}$
4. D.
   $\dfrac{2}{7}$

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