1. A
   $\cos x$
2. B
   $\cos x^2$
3. C
   $\cos^2 x$
4. D
   $\cos|x|$

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

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1. A
   $-1$
2. B
   $0$
3. C
   $1$
4. D
   $2$

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1. A
   $\dfrac{\sqrt{3}}{2}-\dfrac{\pi}{12}$
2. B
   $\dfrac{\sqrt{3}}{2}+\dfrac{\pi}{12}$
3. C
   $\dfrac{\sqrt{3}}{2}+\dfrac{\pi}{9}$
4. D
   $\dfrac{\sqrt{3}}{2}+\dfrac{\pi}{6}$

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

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

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1. A
   $\dfrac{1}{6}$ sq unit
2. B
   $\dfrac{2}{3}$ sq unit
3. C
   $1$ sq unit
4. D
   $\dfrac{4}{3}$ sq unit

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1. A
   $1$ and $1$
2. B
   $1$ and $2$
3. C
   $2$ and $1$
4. D
   $1$ and $3$

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1. A
   $y^4+2x=c$
2. B
   $y^4+3x=c$
3. C
   $2xy^4+x=c$
4. D
   $4xy-y^4=c$

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1. A
   $0$
2. B
   $1$
3. C
   $\dfrac{5}{3}$
4. D
   $\dfrac{10}{3}$

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1. A
   $2$
2. B
   $3$
3. C
   $4$
4. D
   $5$

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

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1. A
   $-2$
2. B
   $-1$
3. C
   $0$
4. D
   $2$

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1. A
   $-4$
2. B
   $-2$
3. C
   $0$
4. D
   $4$

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1. A
   $\dfrac{\ln 2}{2}$
2. B
   $\dfrac{\ln 2}{4}$
3. C
   $\ln 2$
4. D
   $2\ln 2$

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

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1. A
   $0$
2. B
   $1$
3. C
   $2$
4. D
   $3$

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

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