F(x)=(x-1)(x-2)(x-3) in 0 4 189645-F(x)=(x-1)(x-2)(x-3) in 0 4

SOLUTIONS TO GRAPHINGOF FUNCTIONS USING THE FIRST AND SECOND DERIVATIVES SOLUTION 1 The domain of f is all x values Now determine a sign chart for the first derivative,

F(x)=(x-1)(x-2)(x-3) in 0 4-Solution f (x) = (x1) (x2) (x3) , x ∈ 0,4, ∴ f (x) = x 3 6x 2 11x 6 As f (x) is a polynomial in x (1) f (x) is continuous on 0, 4 (2) f (x) is differentiable on (0, 4) Thus, all the conditions of LMVTSolution for x² 1 f(x) X), x2 – 4x 4 close Start your trial now!

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Now, that last example is not to be said it can't be done, but it involves completing the square to obtain f(x) = (x2) 2 2, then inversing it so that you get f1 (x) = 2sqrt(x2) However, there isExplanation So we have three possibilities (1) x = 0 (2) (2x −1)2 = 0 → 2x−1 = 0 → x = 1/2 Find roots of f (x) = (x2 −1)2(x2 − 2x 1) https//mathstackexchangecom/questions//find

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