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13 Nov 2019
The Mean Value Theorem. Suppose that f is a differentiable function on the interval (a, b) and is continuous on [a, b. Then at some value e in (a, b J'(c) = f(b).f(a) CI interval lo, such that te m e interval. Explain how you know that MVT applies to your f(x) on your interval b) Find an interval [a, b], such that the MVT does not apply to g(z) = Inx on the interval. Explain how you know that MVT does not apply to g(x) on your interval. c) What, if anything, does the MVT tell you about h(r)vr on (1,5)? Justify your reasoning d) What, if anything, does the MVT tell you about k(z) = (1 x) 2 on 2, 4)? Justify your reasoning.
The Mean Value Theorem. Suppose that f is a differentiable function on the interval (a, b) and is continuous on [a, b. Then at some value e in (a, b J'(c) = f(b).f(a) CI interval lo, such that te m e interval. Explain how you know that MVT applies to your f(x) on your interval b) Find an interval [a, b], such that the MVT does not apply to g(z) = Inx on the interval. Explain how you know that MVT does not apply to g(x) on your interval. c) What, if anything, does the MVT tell you about h(r)vr on (1,5)? Justify your reasoning d) What, if anything, does the MVT tell you about k(z) = (1 x) 2 on 2, 4)? Justify your reasoning.
Jamar FerryLv2
13 Nov 2019