level 3 (calculus)\nlet $f(x)=x^{3}-6x^{2}+9x$. determine:\n1. critical points\n2. intervals of…

level 3 (calculus)\nlet $f(x)=x^{3}-6x^{2}+9x$. determine:\n1. critical points\n2. intervals of increase/decrease\n3. local maxima/minima\n4. $int_{0}^{4}f(x)dx$

level 3 (calculus)\nlet $f(x)=x^{3}-6x^{2}+9x$. determine:\n1. critical points\n2. intervals of increase/decrease\n3. local maxima/minima\n4. $int_{0}^{4}f(x)dx$

Answer

Explanation:

Step1: Find the derivative of $f(x)$

The derivative of[Client Connection Error]