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is zero at x=0 and x=1 and differentiable on (0,1), but its derivative on (0,1) is never zero. How can this be? Doesn't
Posted: Thu Jul 14, 2022 4:22 pm
by answerhappygod
- Is Zero At X 0 And X 1 And Differentiable On 0 1 But Its Derivative On 0 1 Is Never Zero How Can This Be Doesn T 1 (37.83 KiB) Viewed 42 times
is zero at x=0 and x=1 and differentiable on (0,1), but its derivative on (0,1) is never zero. How can this be? Doesn't Rolle's Theorem say the derivative has to be zero somewhere in (0,1) ? Give reasons for your answer. 16. For what values of a,m, and b does the function f(x)=⎩⎨⎧3,−x2+3x+a,mx+b,x=00<x<11≤x≤2 satisfy the hypotheses of the Mean Value Theorem on the interval [0,2]?