Ответы
Ответ дал:
0
1) ![y= frac{2x}{ sqrt{x} +1} y= frac{2x}{ sqrt{x} +1}](https://tex.z-dn.net/?f=y%3D+frac%7B2x%7D%7B+sqrt%7Bx%7D+%2B1%7D+)
![y'= frac{2( sqrt{x} +1)-2x* frac{1}{2 sqrt{x} } }{( sqrt{x} +1)^2} = frac{4 sqrt{x} ( sqrt{x} +1)-2x}{2 sqrt{x}( sqrt{x} +1)^2} = frac{x+2 sqrt{x} }{sqrt{x}( sqrt{x} +1)^2} =frac{ sqrt{x} +2 }{( sqrt{x} +1)^2} y'= frac{2( sqrt{x} +1)-2x* frac{1}{2 sqrt{x} } }{( sqrt{x} +1)^2} = frac{4 sqrt{x} ( sqrt{x} +1)-2x}{2 sqrt{x}( sqrt{x} +1)^2} = frac{x+2 sqrt{x} }{sqrt{x}( sqrt{x} +1)^2} =frac{ sqrt{x} +2 }{( sqrt{x} +1)^2}](https://tex.z-dn.net/?f=y%27%3D+frac%7B2%28+sqrt%7Bx%7D+%2B1%29-2x%2A+frac%7B1%7D%7B2+sqrt%7Bx%7D+%7D+%7D%7B%28+sqrt%7Bx%7D+%2B1%29%5E2%7D+%3D+frac%7B4+sqrt%7Bx%7D+%28+sqrt%7Bx%7D+%2B1%29-2x%7D%7B2+sqrt%7Bx%7D%28+sqrt%7Bx%7D+%2B1%29%5E2%7D+%3D+frac%7Bx%2B2+sqrt%7Bx%7D+%7D%7Bsqrt%7Bx%7D%28+sqrt%7Bx%7D+%2B1%29%5E2%7D+%3Dfrac%7B+sqrt%7Bx%7D+%2B2+%7D%7B%28+sqrt%7Bx%7D+%2B1%29%5E2%7D)
2)![y=9x^2+ frac{4}{x} + sqrt[3]{x^2}-3=9x^2+4x^{-1}+x^{2/3} -3 y=9x^2+ frac{4}{x} + sqrt[3]{x^2}-3=9x^2+4x^{-1}+x^{2/3} -3](https://tex.z-dn.net/?f=y%3D9x%5E2%2B+frac%7B4%7D%7Bx%7D+%2B+sqrt%5B3%5D%7Bx%5E2%7D-3%3D9x%5E2%2B4x%5E%7B-1%7D%2Bx%5E%7B2%2F3%7D+-3)
![y'=18x-4x^{-2}+ frac{2}{3} *x^{-1/3} y'=18x-4x^{-2}+ frac{2}{3} *x^{-1/3}](https://tex.z-dn.net/?f=y%27%3D18x-4x%5E%7B-2%7D%2B+frac%7B2%7D%7B3%7D+%2Ax%5E%7B-1%2F3%7D)
![y''=18-4(-2)x^{-3}+ frac{2}{3} (- frac{1}{3})x^{-4/3}=18+ frac{8}{x^3} - frac{2}{9}* frac{1}{sqrt[3]{x^4}} y''=18-4(-2)x^{-3}+ frac{2}{3} (- frac{1}{3})x^{-4/3}=18+ frac{8}{x^3} - frac{2}{9}* frac{1}{sqrt[3]{x^4}}](https://tex.z-dn.net/?f=y%27%27%3D18-4%28-2%29x%5E%7B-3%7D%2B+frac%7B2%7D%7B3%7D+%28-+frac%7B1%7D%7B3%7D%29x%5E%7B-4%2F3%7D%3D18%2B+frac%7B8%7D%7Bx%5E3%7D+-+frac%7B2%7D%7B9%7D%2A++frac%7B1%7D%7Bsqrt%5B3%5D%7Bx%5E4%7D%7D+++)
3)![y=sin(x)+3x^2+4 y=sin(x)+3x^2+4](https://tex.z-dn.net/?f=y%3Dsin%28x%29%2B3x%5E2%2B4)
![y'=cos(x)+6x y'=cos(x)+6x](https://tex.z-dn.net/?f=y%27%3Dcos%28x%29%2B6x)
![y''=-sin(x)+6 y''=-sin(x)+6](https://tex.z-dn.net/?f=y%27%27%3D-sin%28x%29%2B6)
2)
3)
Вас заинтересует
1 год назад
2 года назад
8 лет назад
8 лет назад
8 лет назад