Question: code class=asciimath>Cu 1. Tm o hm y^(')(x) ti x_(0)=2 ca hm s g=2 x=2e^(t) y=t+t^(2) Bi tp b sung Ay^(')(1)=(1)/(2) By^(')(1)=1 Cy^(')(1)=(5)/(e^(2)) Dy^('')(x) ti x_(0)=1

code class="asciimath">Cu 1. Tm o hm y^(')(x) ti x_(0)=2 ca hm s g=2 x=2e^(t) y=t+t^(2) Bi tp b sung Ay^(')(1)=(1)/(2) By^(')(1)=1 Cy^(')(1)=(5)/(e^(2)) Dy^('')(x) ti x_(0)=1 ca hm s x=lnt y=t^(3) Ay^('')(1)=-6e^(3) By^('')(1)=9e^(3) Cy^('')(1)=6e Dy^('')(1)=6 Cu 3. Tm o hm cp hai y^('')(x) ti x_(0)=2 ca hm s x=2e^(t) y=t+t^(2) Ay^('')(2)=(1)/(4) By^('')(2)=(1)/(8) Cy^('')(2)=(1)/(2) Dy^('')(2)=0 Cu 4. Tm o hm y^(')=y^(')(x) ca hm n c cho bi lny+(x)/(y)=1 Ay^(')=-1 By^(')=(y)/(y+x) Cy^(')=(y)/(x-y) Dy^(')=(y)/(y-x) Cu 5. Tm o hm y^(')(0) ca hm n c cho bi x^(3)+lny-x^(2)e^(y)=0 Ay^(')(0)=0 By^(')(0)=1 Cy^(')(0)=2 Dy^(')(0)=3 Cu 6. Tm o hm y^(')(0) ca hm n c cho bi x^(3)+lny-x^(2)e^(y)=0

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