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One minima and two maximaTwo minima and one maximaTwo minima and two maximaOne minima and one maxima

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`f'(x)=5x^(4)-20x^(3)+15x^(2))` <br> `f''(x)=20x^(3)-60x^(2)+30x` <br> `f'(x)=0 rArr x^(2)(x^(2)-4x+3)=0` <br> `rArr" "x^(2)(x-1)(x-3)=0 rArr x=0, 1, 3` <br> `f''(1)lt0 and f''(3)=540-540+90 gt0` <br> `and f''(0)=0 and f'''(0) ne0` <br> `therefore" Maximum at x = 1 and minimum at x = 3"`**Introduction: average rate and instantaneous rate**

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