MA Let r [-1. 1] and F(x) = f, f(t)dt. where the function f is defined by 1. if x > 0. f(x) = { 0. if r ≤9. 1. Show that F is not differentiable at x = 0.

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Chapter2: Second-order Linear Odes
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Let re [-1. 1] and F(x) = f, f(t)dt. where the function f is defined by
1. if x > 0.
0. if r ≤ 0.
f(x) =
1. Show that F is not differentiable at x = 0.
Transcribed Image Text:Let re [-1. 1] and F(x) = f, f(t)dt. where the function f is defined by 1. if x > 0. 0. if r ≤ 0. f(x) = 1. Show that F is not differentiable at x = 0.
2. Explain why the above result does not contradict the Fundamental Theorem of
calculus (you must first state clearly this Theorem).
Transcribed Image Text:2. Explain why the above result does not contradict the Fundamental Theorem of calculus (you must first state clearly this Theorem).
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