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1. ̊֐D
•  $3\displaystyle{y= - \frac{\hspace{2}1\hspace{2}}{\hspace{2}x\hspace{2}} }$
•  $3\displaystyle{y= \sqrt{ 2x+3 } }$
•  $3\displaystyle{y= { \( {x}^{3} \) }^{ - 4 } }$
•  $3\displaystyle{y= \( x+1 \) \( {x}^{2}+3 \) }$
•  $3\displaystyle{y= {x}^{2} \( 3- x \) }$
•  $3\displaystyle{y= \( 2- x \) \( 2{x}^{2}- 3x+4 \) }$
•  $3\displaystyle{y= \frac{\hspace{2} 2{x}^{2}- 7x+3 \hspace{2}}{\hspace{2} 2x- 1 \hspace{2}} }$
•  $3\displaystyle{y= \frac{\hspace{2} 4{x}^{2}- 3x+1 \hspace{2}}{\hspace{2} 2x+3 \hspace{2}} }$
•  $3\displaystyle{y= \frac{\hspace{2} 4{x}^{2}- 1 \hspace{2}}{\hspace{2} \( 2x+1 \) \( x- 1 \) \hspace{2}} }$
•  $3\displaystyle{y= 3{x}^{2}+2x+1- \frac{\hspace{2} 3x \hspace{2}}{\hspace{2} {x}^{2}+1 \hspace{2}} }$
2. ̊֐D
•  $3\displaystyle{ y={e}^{ - x } }$
•  $3\displaystyle{\displaystyle{{ y=e }^{ 3x }}}$
•  $3\displaystyle{y=\sin 6x}$
•  $3\displaystyle{y=\cos 2x}$
•  $3\displaystyle{y= \sqrt[3]{ 4- {x}^{2} } }$
•  $3\displaystyle{y= \sqrt[4]{ 3{x}^{2}- 2x+1 } }$
•  $3\displaystyle{y= \sqrt[3]{ \frac{\hspace{2} x+1 \hspace{2}}{\hspace{2} x- 1 \hspace{2}} } }$
•  $3\displaystyle{y= \frac{\hspace{2} 2{x}^{2}+2x+1 \hspace{2}}{\hspace{2} \sqrt{x} \hspace{2}} }$
•  $3\displaystyle{y= \frac{\hspace{2} {x}^{2}+2x+3 \hspace{2}}{\hspace{2} \sqrt{x} \hspace{2}} }$
•  $3\displaystyle{y= \sin \( 3x+2 \) }$
•  $3\displaystyle{y= \cos \( 5x- 2 \) }$
•  $3\displaystyle{y= \cos 3x- \sin \( - 2x+1 \) }$
•  $3\displaystyle{y= { \sin }^{3} \( 3x+1 \) }$
3. ̊֐D
•  $3\displaystyle{y= { \cos }^{4} \( 3x- 2 \) }$
•  $3\displaystyle{y= { \tan }^{3} \( 4x- 1 \) }$
•  $3\displaystyle{y= \sin \( 4x- 1 \) \cos 3x }$
•  $3\displaystyle{ y=\hspace{1}{\log }_{x}3 }$
•  $3\displaystyle{y= \frac{\hspace{2} 1- 3\sin x \hspace{2}}{\hspace{2} 2\cos x \hspace{2}} }$
•  $3\displaystyle{y= \( 3{x}^{2}- 1 \) \tan \frac{\hspace{2}1\hspace{2}}{\hspace{2} 2x \hspace{2}} }$
•  $3\displaystyle{y= \log \( 2{x}^{2}- 3x+2 \) }$
•  $3\displaystyle{ y={4}^{x} }$
4. ̊֐D
•  $3\displaystyle{y= { \sin }^{ - 1 }2x }$
•  $3\displaystyle{y= 5- 9x+\frac{\hspace{2}9\hspace{2}}{\hspace{2}2\hspace{2}}{x}^{2} }$
•  $3\displaystyle{x= {t}^{2}+\frac{\hspace{2}6\hspace{2}}{\hspace{2} {t}^{3} \hspace{2}} }$
•  $3\displaystyle{y= \frac{\hspace{2} {t}^{5}+1 \hspace{2}}{\hspace{2} {t}^{5} \hspace{2}} }$
•  $3\displaystyle{\hspace{5}\hspace{5}\hspace{5}f\hspace{5} \(u\) = {u}^{2}+6\sqrt[3]{ {u}^{2} } }$
•  $3\displaystyle{y= \log \( \log \( \log \( \log 5x \) \) \) }$
•  $3\displaystyle{y= {x}^{ 5x } }$
•  $3\displaystyle{y= {e}^{ - 3x }\sin 3x }$
•  $3\displaystyle{y= \frac{\hspace{2} { \( 5x+1 \) }^{5} \hspace{2}}{\hspace{2} { \( {x}^{3}- 4 \) }^{4} \hspace{2}} }$
•  $3\displaystyle{y= \sqrt[5]{ 5x- 7 } }$
•  $3\displaystyle{y= {x}^{ \frac{\hspace{2}1\hspace{2}}{\hspace{2} 3n \hspace{2}} } }$
•  $3\displaystyle{y= { \sin }^{3}4x{ \cos }^{4}3x }$
•  $3\displaystyle{y= \log \( \sin 3x \) }$
•  $3\displaystyle{y= \frac{\hspace{2} \sin 6x \hspace{2}}{\hspace{2} \cos 2x \hspace{2}} }$
•  $3\displaystyle{y= \frac{\hspace{2} {e}^{6}\cos 6x \hspace{2}}{\hspace{2} \log 3x \hspace{2}} }$
•  $3\displaystyle{y= \log \| \frac{\hspace{2} 1- 2x \hspace{2}}{\hspace{2} 1+2x \hspace{2}} \| }$
•  $3\displaystyle{y= \log \frac{\hspace{2} {e}^{ 3x }- 3 \hspace{2}}{\hspace{2} {e}^{ 3x }+1 \hspace{2}} }$
•  $3\displaystyle{y= \frac{\hspace{2} {e}^{x}- {e}^{ - x } \hspace{2}}{\hspace{2} {e}^{x}+{e}^{ - x } \hspace{2}} }$
•  $3\displaystyle{y= \frac{\hspace{2}1\hspace{2}}{\hspace{2}n\hspace{2}}\log \frac{\hspace{2} {e}^{ - 2nx }+{e}^{ 2nx } \hspace{2}}{\hspace{2}4\hspace{2}} }$
•  $3\displaystyle{y= \frac{\hspace{2} \sin 2x- 4\cos x \hspace{2}}{\hspace{2} 2\sin x\cos x \hspace{2}} }$
5. ̊֐̑2֐߂ȂD
•  $3\displaystyle{ y={x}^{4}+3{x}^{2}- 7x+9 }$
•  $3\displaystyle{ y={e}^{ 3x }\cos 6x }$
•  $3\displaystyle{ y=\log \sin 5x }$
•  $3\displaystyle{ y={e}^{ ax }\cos bx }$
6. ̏𖞂C3֐߂ȂD
•  $3\displaystyle{ x{f}^{\prime\prime } \(x\) + \( 3+x \) {f}^{\prime } \(x\) - 3f \(x\) =0 }$@@
•  $3\displaystyle{f \(0\) =4,f \(1\) =10,{f}^{\prime } \(2\) =23,}$ $3\displaystyle{{f}^{\prime\prime } \(3\) =22}$@@
• @
7. ̖Ȃ
•  ̏𖞂$3\displaystyle{ a,b }$߂D @ $3\displaystyle{ y={e}^{x}+{e}^{ - 2x },{y}^{\prime\prime }+3a{y}^{\prime }+by=0 }$
•  @@

•  ̊֐$3\displaystyle{{y}^{\prime\prime }}$ $3\displaystyle{x}$pɁC$3\displaystyle{ y,{y}^{\prime } }$ pĕ\D $3\displaystyle{ y={e}^{ ax }\cos bx }$
•  @@

•  $3\displaystyle{f \(0\) =g \(0\) ,{f}^{\prime } \(0\) ={g}^{\prime } \(0\) ,}$ $3\displaystyle{{f}^{\prime\prime } \(0\) ={g}^{\prime\prime } \(0\) }$ 𖞂$3\displaystyle{ a,b,c }$ ߂D $3\displaystyle{f \(x\) =3\sin x+2}$,$3\displaystyle{g \(x\) =\frac{\hspace{2}a\hspace{2}}{\hspace{2} b{x}^{2}+cx+3 \hspace{2}}}$
•  @@

•  $3\displaystyle{ f \(x\) =\hspace{1}{ \log }_{2}x }$ ƂD$3\displaystyle{ {f}^{\prime } \(5\) }$W̒`pċ߂D W̒`F$3\displaystyle{ {f}^{\prime } \(x\) ={ \lim }\limits_{ h\rightarrow 0 }\frac{\hspace{2} f \( a+h \) - f \(a\) \hspace{2}}{\hspace{2}h\hspace{2}} }$
•  @@

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