Намерете производните на следните функции

[Sweetbubble]

[tex]y=(x^{2}-x)^{11}[/tex]

[tex]y=\frac{5sin^{7}(\frac{2x+\pi}{5})}{7}[/tex]

[Knowledge Greedy]

[tex]y' = 11(x^2-1)^{10}(x^2-x)'=11(x^2-1)^{10}(2x-1)[/tex]

[tex]y'=\frac{5}{\cancel{7}}.\cancel{7}.sin^6 \left(\frac{2x+\pi}{5} \right ).cos\left(\frac{2x+\pi}{5} \right ). \left(\frac{2x+\pi}{5} \right )'[/tex]=

[tex]=\cancel{5}.sin^6 \left(\frac{2x+\pi}{5} \right ).cos\left(\frac{2x+\pi}{5} \right ). \frac{2}{\cancel{5}}=2sin^6 \left(\frac{2x+\pi}{5} \right ).cos\left(\frac{2x+\pi}{5} \right )[/tex]

[Sweetbubble]

Много благодаря за подробните и ясни решения!!!