Question: Exercise III: False or False? (5 X 5 = 25 points) Explain why each of the following statements is false using specic counterexamples, and /or

 Exercise III: False or False? (5 X 5 = 25 points)

Explain why each of the following statements is false using specic counterexamples,

Exercise III: False or False? (5 X 5 = 25 points) Explain why each of the following statements is false using specic counterexamples, and /or graphs. 1, If f is dened on (a,b) and t?) = U at some point (2 6 (0,115), then f'(c) = l]. 233+l .1331] . then ' [l = 2. xf+2zrr 33>\": f() 2, If f(;r:) = { 3, The tangent line to the graph of f at a point intersects the graph of f at exactly one point. 4, If f'(:n) > g'(-_r) for all .1? E (ab), then at) > 9(a) for all :r: E (a,b). a, If f is a function and f2 is differentiable everywhere, then f is differentiable everywhere

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