Найдите производную, пожалуйста
Дальше башка не варит, модеры, дайте время на завтра, что бы я дорешал))
Дорешайте пж
жди пока модеры дадут мне время на исправление, что бы я дорешал)
![y=\frac{-2cos(\sqrt[3]{x}-1) }{x^\frac{1}{2} -1}=\frac{-2a}{b} \\\\y'=\frac{(-2a)'-b'}{b^2}=\frac{-2(-sin( \sqrt[3]{x}-1)\frac{1}{3} *x^{-\frac{2}{3}} -\frac{1}{2} x^{-\frac{1}{2} }*(-2cos(\sqrt[3]{x}-1))}{(x^{\frac{1}{2}-1})^2} =\\=\frac{\frac{2}{3} sin( \sqrt[3]{x}-1)*x^{-\frac{2}{3}} -\frac{x^{-\frac{1}{2} }*(-2cos(\sqrt[3]{x}-1))}{2} }{(x^{\frac{1}{2}-1})^2}=\\=](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-2cos%28%5Csqrt%5B3%5D%7Bx%7D-1%29%20%7D%7Bx%5E%5Cfrac%7B1%7D%7B2%7D%20-1%7D%3D%5Cfrac%7B-2a%7D%7Bb%7D%20%20%5C%5C%5C%5Cy%27%3D%5Cfrac%7B%28-2a%29%27-b%27%7D%7Bb%5E2%7D%3D%5Cfrac%7B-2%28-sin%28%20%5Csqrt%5B3%5D%7Bx%7D-1%29%5Cfrac%7B1%7D%7B3%7D%20%2Ax%5E%7B-%5Cfrac%7B2%7D%7B3%7D%7D%20-%5Cfrac%7B1%7D%7B2%7D%20x%5E%7B-%5Cfrac%7B1%7D%7B2%7D%20%7D%2A%28-2cos%28%5Csqrt%5B3%5D%7Bx%7D-1%29%29%7D%7B%28x%5E%7B%5Cfrac%7B1%7D%7B2%7D-1%7D%29%5E2%7D%20%3D%5C%5C%3D%5Cfrac%7B%5Cfrac%7B2%7D%7B3%7D%20sin%28%20%5Csqrt%5B3%5D%7Bx%7D-1%29%2Ax%5E%7B-%5Cfrac%7B2%7D%7B3%7D%7D%20-%5Cfrac%7Bx%5E%7B-%5Cfrac%7B1%7D%7B2%7D%20%7D%2A%28-2cos%28%5Csqrt%5B3%5D%7Bx%7D-1%29%29%7D%7B2%7D%20%7D%7B%28x%5E%7B%5Cfrac%7B1%7D%7B2%7D-1%7D%29%5E2%7D%3D%5C%5C%3D "y=\frac{-2cos(\sqrt[3]{x}-1) }{x^\frac{1}{2} -1}=\frac{-2a}{b} \\\\y'=\frac{(-2a)'-b'}{b^2}=\frac{-2(-sin( \sqrt[3]{x}-1)\frac{1}{3} *x^{-\frac{2}{3}} -\frac{1}{2} x^{-\frac{1}{2} }*(-2cos(\sqrt[3]{x}-1))}{(x^{\frac{1}{2}-1})^2} =\\=\frac{\frac{2}{3} sin( \sqrt[3]{x}-1)*x^{-\frac{2}{3}} -\frac{x^{-\frac{1}{2} }*(-2cos(\sqrt[3]{x}-1))}{2} }{(x^{\frac{1}{2}-1})^2}=\\=")
![=\frac{\frac{4sin( \sqrt[3]{x}-1)*x^{-\frac{2}{3}}-3x^{-\frac{1}{2} }*(-2cos(\sqrt[3]{x}-1))}{6} }{(x^{\frac{1}{2}-1})^2}=\frac{\frac{4sin( \sqrt[3]{x}-1)*x^{-\frac{2}{3}}-3x^{-\frac{1}{2} }*(-2cos(\sqrt[3]{x}-1))}{6} }{(x^{\frac{1}{2}-1})^2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Cfrac%7B4sin%28%20%5Csqrt%5B3%5D%7Bx%7D-1%29%2Ax%5E%7B-%5Cfrac%7B2%7D%7B3%7D%7D-3x%5E%7B-%5Cfrac%7B1%7D%7B2%7D%20%7D%2A%28-2cos%28%5Csqrt%5B3%5D%7Bx%7D-1%29%29%7D%7B6%7D%20%7D%7B%28x%5E%7B%5Cfrac%7B1%7D%7B2%7D-1%7D%29%5E2%7D%3D%5Cfrac%7B%5Cfrac%7B4sin%28%20%5Csqrt%5B3%5D%7Bx%7D-1%29%2Ax%5E%7B-%5Cfrac%7B2%7D%7B3%7D%7D-3x%5E%7B-%5Cfrac%7B1%7D%7B2%7D%20%7D%2A%28-2cos%28%5Csqrt%5B3%5D%7Bx%7D-1%29%29%7D%7B6%7D%20%7D%7B%28x%5E%7B%5Cfrac%7B1%7D%7B2%7D-1%7D%29%5E2%7D "=\frac{\frac{4sin( \sqrt[3]{x}-1)*x^{-\frac{2}{3}}-3x^{-\frac{1}{2} }*(-2cos(\sqrt[3]{x}-1))}{6} }{(x^{\frac{1}{2}-1})^2}=\frac{\frac{4sin( \sqrt[3]{x}-1)*x^{-\frac{2}{3}}-3x^{-\frac{1}{2} }*(-2cos(\sqrt[3]{x}-1))}{6} }{(x^{\frac{1}{2}-1})^2}")