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1)
![frac{cos(x)*(ln(x) + 4x) - sin(x)*( frac{1}{x} + 4)}{(ln(x)+4x)^{2}} frac{cos(x)*(ln(x) + 4x) - sin(x)*( frac{1}{x} + 4)}{(ln(x)+4x)^{2}}](https://tex.z-dn.net/?f=+frac%7Bcos%28x%29%2A%28ln%28x%29+%2B+4x%29+-+sin%28x%29%2A%28+frac%7B1%7D%7Bx%7D+%2B+4%29%7D%7B%28ln%28x%29%2B4x%29%5E%7B2%7D%7D+)
2)
![e^{x}*lg(x) + frac{e^{x}}{x*ln(10)} e^{x}*lg(x) + frac{e^{x}}{x*ln(10)}](https://tex.z-dn.net/?f=e%5E%7Bx%7D%2Alg%28x%29+%2B++frac%7Be%5E%7Bx%7D%7D%7Bx%2Aln%2810%29%7D+)
3)
![frac{-sin(x) - ctg^{2}x - 1}{ 2sqrt{cos(x)+ctg(x)} } frac{-sin(x) - ctg^{2}x - 1}{ 2sqrt{cos(x)+ctg(x)} }](https://tex.z-dn.net/?f=+frac%7B-sin%28x%29+-+ctg%5E%7B2%7Dx+-+1%7D%7B+2sqrt%7Bcos%28x%29%2Bctg%28x%29%7D+%7D+)
4)
![frac{4x^{3}*cos(x) - sin(x)*(x^4 +11)}{cos(x)*(x^4 + 11)} frac{4x^{3}*cos(x) - sin(x)*(x^4 +11)}{cos(x)*(x^4 + 11)}](https://tex.z-dn.net/?f=+frac%7B4x%5E%7B3%7D%2Acos%28x%29+-+sin%28x%29%2A%28x%5E4+%2B11%29%7D%7Bcos%28x%29%2A%28x%5E4+%2B+11%29%7D+)
5)
![frac{3tg^{2}3x + 3}{ln12 * tg3x} frac{3tg^{2}3x + 3}{ln12 * tg3x}](https://tex.z-dn.net/?f=+frac%7B3tg%5E%7B2%7D3x+%2B+3%7D%7Bln12+%2A+tg3x%7D+)
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