List questions from mean-value-theorem

Published on 03 Nov 2022 - 15:02

25

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Proof verification: If $f'(x)\to L$ as $x\to c$, then $f'(c) = L$

Published on 19 Nov 2022 - 9:05

85

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Mean Value Theorem does not (seem to) prove my result

Published on 22 Nov 2022 - 4:26

53

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Finding an inequality of harmonic functions

Published on 23 Nov 2022 - 18:53

240

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Show that if $f(0)=0,f(1)=1$ and $f''\ge0$ then $f(x)\leq x$ for every $x\in[0,1].$

Published on 30 Nov 2022 - 16:01

101

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Numerical solution of differential equations,the book by Ralston, the mean value theorem doesn't match

Published on 01 Dec 2022 - 18:10

77

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Proving inequality with Mean Value Theorem

Published on 03 Dec 2022 - 15:48

38

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Mean value theorem equivalence

Published on 09 Dec 2022 - 14:57

120

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Let $f:[0,4] \rightarrow \mathbb{R}$ is differentiable. Then show that $f'(c)=\frac{1}{6}(f'(1)+2f'(2)+3f'(3))$ for some $c \in (0,4)$.

Published on 14 Dec 2022 - 17:21

97

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Integral to derive Simpson's Rule error expression

Published on 26 Dec 2022 - 16:34

84

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Why are closed intervals used when Lagrange's Theorem for the the Remainder is applied to a definite integral?

Published on 02 Jan 2023 - 6:17

120

Views

algebraic equivalent interpolation formulae

Published on 02 Jan 2023 - 16:34

85

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Use mean value theorem to prove two inequalities

Published on 12 Jan 2023 - 15:40

26

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Idea of Mean Value Constraints

Published on 15 Jan 2023 - 19:25

58

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Notation for differentiable (but not necessarily $C^1$) functions

Published on 16 Jan 2023 - 20:53

List Question

Proving $H_n − 1 \leq \ln{n} \leq H_n − \frac{1}{n}$

Proof verification: If $f'(x)\to L$ as $x\to c$, then $f'(c) = L$

Mean Value Theorem does not (seem to) prove my result

Finding an inequality of harmonic functions

Show that if $f(0)=0,f(1)=1$ and $f''\ge0$ then $f(x)\leq x$ for every $x\in[0,1].$

Numerical solution of differential equations,the book by Ralston, the mean value theorem doesn't match

Proving inequality with Mean Value Theorem

Mean value theorem equivalence

Let $f:[0,4] \rightarrow \mathbb{R}$ is differentiable. Then show that $f'(c)=\frac{1}{6}(f'(1)+2f'(2)+3f'(3))$ for some $c \in (0,4)$.

Integral to derive Simpson's Rule error expression

Why are closed intervals used when Lagrange's Theorem for the the Remainder is applied to a definite integral?

algebraic equivalent interpolation formulae

Use mean value theorem to prove two inequalities

Idea of Mean Value Constraints

Notation for differentiable (but not necessarily $C^1$) functions

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