calcule as derivadas a seguir aplicando a regra sa cadeia: y=(5x²-18x³+4x)^7
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![]y = (5x^2-18x^3+4x)^7\\\\y' = 7*(5x^2-18x^3+4x)^{7-1}*(5x^2-18x^3+4x)'\\\\y'=7*(5x^2-18x^3+4x)^6 *(5*2x^{2-1}-18*3x^{3-1}+4x^{1-1})\\\\ y'=7*(5x^2-18x^3+4x)^6*(10x-54x^2+4)\\\\ \boxed{\boxed{y'=(5x^2-18x^3+4x)^6*(70x-738x^2+14)}}](https://tex.z-dn.net/?f=%5Dy+%3D+%285x%5E2-18x%5E3%2B4x%29%5E7%5C%5C%5C%5Cy%27+%3D+7%2A%285x%5E2-18x%5E3%2B4x%29%5E%7B7-1%7D%2A%285x%5E2-18x%5E3%2B4x%29%27%5C%5C%5C%5Cy%27%3D7%2A%285x%5E2-18x%5E3%2B4x%29%5E6+%2A%285%2A2x%5E%7B2-1%7D-18%2A3x%5E%7B3-1%7D%2B4x%5E%7B1-1%7D%29%5C%5C%5C%5C+y%27%3D7%2A%285x%5E2-18x%5E3%2B4x%29%5E6%2A%2810x-54x%5E2%2B4%29%5C%5C%5C%5C+%5Cboxed%7B%5Cboxed%7By%27%3D%285x%5E2-18x%5E3%2B4x%29%5E6%2A%2870x-738x%5E2%2B14%29%7D%7D "]y = (5x^2-18x^3+4x)^7\\\\y' = 7*(5x^2-18x^3+4x)^{7-1}*(5x^2-18x^3+4x)'\\\\y'=7*(5x^2-18x^3+4x)^6 *(5*2x^{2-1}-18*3x^{3-1}+4x^{1-1})\\\\ y'=7*(5x^2-18x^3+4x)^6*(10x-54x^2+4)\\\\ \boxed{\boxed{y'=(5x^2-18x^3+4x)^6*(70x-738x^2+14)}}")
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