A. y=2x^3 (5x^2-7)
b. y= 1/4x^-1/5 - 7x^-2/3 + 8x^-4 + 2x + 2
b. y= 1/4x^-1/5 - 7x^-2/3 + 8x^-4 + 2x + 2
izharulhaq78
![y=\frac{1}{4}x^{-\frac{1}{5}}-7x^{-\frac{2}{3}}+8x^{-4}+2x+2\\\\y'=\frac{1}{4}\times(-\frac{1}{5})x^{-\frac{1}{5}-1}-7\times(-\frac{2}{3})x^{-\frac{2}{3}-1}+8\times(-4)x^{-4-1}+2x+2\\y'=-\frac{1}{20}x^{-\frac{6}{5}}+\frac{14}{3}x^{-\frac{5}{3}}-32x^{-5}+2\times1x^{1-1}+2\times0x^{0-1}\\y'=-\frac{1}{20}\times\frac{1}{\sqrt[5]{x^6}}+\frac{14}{3}\times\frac{1}{\sqrt[3]{x^5}}-32\times\frac{1}{x^5}+2x^{0}+0x^{-1}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7Dx%5E%7B-%5Cfrac%7B1%7D%7B5%7D%7D-7x%5E%7B-%5Cfrac%7B2%7D%7B3%7D%7D%2B8x%5E%7B-4%7D%2B2x%2B2%5C%5C%5C%5Cy%27%3D%5Cfrac%7B1%7D%7B4%7D%5Ctimes%28-%5Cfrac%7B1%7D%7B5%7D%29x%5E%7B-%5Cfrac%7B1%7D%7B5%7D-1%7D-7%5Ctimes%28-%5Cfrac%7B2%7D%7B3%7D%29x%5E%7B-%5Cfrac%7B2%7D%7B3%7D-1%7D%2B8%5Ctimes%28-4%29x%5E%7B-4-1%7D%2B2x%2B2%5C%5Cy%27%3D-%5Cfrac%7B1%7D%7B20%7Dx%5E%7B-%5Cfrac%7B6%7D%7B5%7D%7D%2B%5Cfrac%7B14%7D%7B3%7Dx%5E%7B-%5Cfrac%7B5%7D%7B3%7D%7D-32x%5E%7B-5%7D%2B2%5Ctimes1x%5E%7B1-1%7D%2B2%5Ctimes0x%5E%7B0-1%7D%5C%5Cy%27%3D-%5Cfrac%7B1%7D%7B20%7D%5Ctimes%5Cfrac%7B1%7D%7B%5Csqrt%5B5%5D%7Bx%5E6%7D%7D%2B%5Cfrac%7B14%7D%7B3%7D%5Ctimes%5Cfrac%7B1%7D%7B%5Csqrt%5B3%5D%7Bx%5E5%7D%7D-32%5Ctimes%5Cfrac%7B1%7D%7Bx%5E5%7D%2B2x%5E%7B0%7D%2B0x%5E%7B-1%7D "y=\frac{1}{4}x^{-\frac{1}{5}}-7x^{-\frac{2}{3}}+8x^{-4}+2x+2\\\\y'=\frac{1}{4}\times(-\frac{1}{5})x^{-\frac{1}{5}-1}-7\times(-\frac{2}{3})x^{-\frac{2}{3}-1}+8\times(-4)x^{-4-1}+2x+2\\y'=-\frac{1}{20}x^{-\frac{6}{5}}+\frac{14}{3}x^{-\frac{5}{3}}-32x^{-5}+2\times1x^{1-1}+2\times0x^{0-1}\\y'=-\frac{1}{20}\times\frac{1}{\sqrt[5]{x^6}}+\frac{14}{3}\times\frac{1}{\sqrt[3]{x^5}}-32\times\frac{1}{x^5}+2x^{0}+0x^{-1}")
![y'=-\frac{1}{20x\sqrt[5]{x}}+\frac{14}{3x\sqrt[3]{x^2}}-\frac{32}{x^5}+2(1)+0\\\boxed{y'=-\frac{1}{20x\sqrt[5]{x}}+\frac{14}{3x\sqrt[3]{x^2}}-\frac{32}{x^5}+2}](https://tex.z-dn.net/?f=y%27%3D-%5Cfrac%7B1%7D%7B20x%5Csqrt%5B5%5D%7Bx%7D%7D%2B%5Cfrac%7B14%7D%7B3x%5Csqrt%5B3%5D%7Bx%5E2%7D%7D-%5Cfrac%7B32%7D%7Bx%5E5%7D%2B2%281%29%2B0%5C%5C%5Cboxed%7By%27%3D-%5Cfrac%7B1%7D%7B20x%5Csqrt%5B5%5D%7Bx%7D%7D%2B%5Cfrac%7B14%7D%7B3x%5Csqrt%5B3%5D%7Bx%5E2%7D%7D-%5Cfrac%7B32%7D%7Bx%5E5%7D%2B2%7D "y'=-\frac{1}{20x\sqrt[5]{x}}+\frac{14}{3x\sqrt[3]{x^2}}-\frac{32}{x^5}+2(1)+0\\\boxed{y'=-\frac{1}{20x\sqrt[5]{x}}+\frac{14}{3x\sqrt[3]{x^2}}-\frac{32}{x^5}+2}")
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