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![a)y`=5lnx/7 sqrt[7]{ x^{2} } + sqrt[7]{ x^{5} } /x=5lnx/7 sqrt[7]{ x^{2} } +1/ sqrt[7]{ x^{2} } a)y`=5lnx/7 sqrt[7]{ x^{2} } + sqrt[7]{ x^{5} } /x=5lnx/7 sqrt[7]{ x^{2} } +1/ sqrt[7]{ x^{2} }](https://tex.z-dn.net/?f=a%29y%60%3D5lnx%2F7+sqrt%5B7%5D%7B+x%5E%7B2%7D+%7D+%2B+sqrt%5B7%5D%7B+x%5E%7B5%7D+%7D+%2Fx%3D5lnx%2F7+sqrt%5B7%5D%7B+x%5E%7B2%7D+%7D+%2B1%2F+sqrt%5B7%5D%7B+x%5E%7B2%7D+%7D+)
![b)y`=((x+1)/(x-4) -ln(x-4))/(x+1) ^{2} =(x+1-(x-4) b)y`=((x+1)/(x-4) -ln(x-4))/(x+1) ^{2} =(x+1-(x-4)](https://tex.z-dn.net/?f=b%29y%60%3D%28%28x%2B1%29%2F%28x-4%29+-ln%28x-4%29%29%2F%28x%2B1%29+%5E%7B2%7D+%3D%28x%2B1-%28x-4%29)
![ln(x-4))/(x-4)(x+1) ^{2} ln(x-4))/(x-4)(x+1) ^{2}](https://tex.z-dn.net/?f=ln%28x-4%29%29%2F%28x-4%29%28x%2B1%29+%5E%7B2%7D+)
![c)y`=5 ^{x} ln5+7ln5/(x+1) c)y`=5 ^{x} ln5+7ln5/(x+1)](https://tex.z-dn.net/?f=c%29y%60%3D5+%5E%7Bx%7D+ln5%2B7ln5%2F%28x%2B1%29)
![d)y`=1/(x+3) d)y`=1/(x+3)](https://tex.z-dn.net/?f=d%29y%60%3D1%2F%28x%2B3%29)
![e)y`=(2x ^{4} /2(x-2)ln4 -4x ^{3} log_4(2x-2))/x^8= e)y`=(2x ^{4} /2(x-2)ln4 -4x ^{3} log_4(2x-2))/x^8=](https://tex.z-dn.net/?f=e%29y%60%3D%282x+%5E%7B4%7D+%2F2%28x-2%29ln4+-4x+%5E%7B3%7D+log_4%282x-2%29%29%2Fx%5E8%3D)
![(x ^{4} -4x ^{3} (x-2)ln4log_4(2x-2))/(x-2)ln4*x ^{8} = (x ^{4} -4x ^{3} (x-2)ln4log_4(2x-2))/(x-2)ln4*x ^{8} =](https://tex.z-dn.net/?f=%28x+%5E%7B4%7D+-4x+%5E%7B3%7D+%28x-2%29ln4log_4%282x-2%29%29%2F%28x-2%29ln4%2Ax+%5E%7B8%7D+%3D)
![(x-4(x-2)ln4log_4(2x-2))/x ^{5} (x-4(x-2)ln4log_4(2x-2))/x ^{5}](https://tex.z-dn.net/?f=%28x-4%28x-2%29ln4log_4%282x-2%29%29%2Fx+%5E%7B5%7D+)
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![a)y`=8e ^{x+12} a)y`=8e ^{x+12}](https://tex.z-dn.net/?f=a%29y%60%3D8e+%5E%7Bx%2B12%7D+)
![b)y`=4 ^{x+3} ln4 b)y`=4 ^{x+3} ln4](https://tex.z-dn.net/?f=b%29y%60%3D4+%5E%7Bx%2B3%7D+ln4)
![c)y`=( x^{2} e ^{x-1} -2xe ^{x-1} ) x^{4} =e ^{x-1}(x-2)/ x^{3} c)y`=( x^{2} e ^{x-1} -2xe ^{x-1} ) x^{4} =e ^{x-1}(x-2)/ x^{3}](https://tex.z-dn.net/?f=c%29y%60%3D%28+x%5E%7B2%7D+e+%5E%7Bx-1%7D+-2xe+%5E%7Bx-1%7D+%29+x%5E%7B4%7D+%3De+%5E%7Bx-1%7D%28x-2%29%2F+x%5E%7B3%7D++)
![d)y`=6+e ^{x+1} d)y`=6+e ^{x+1}](https://tex.z-dn.net/?f=d%29y%60%3D6%2Be+%5E%7Bx%2B1%7D+)
2
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