Question

Proving theorem with IVT or rolles theorem

score 46 · Answer 1 · 2022-05-12 04:08:39

46

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Proving theorem with IVT or rolles theorem

Published on 12 May 2022 - 4:08

score 60 · Answer 2 · 2022-05-16 22:30:53

60

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How to apply intermediate value theorem to this quantity?

Published on 16 May 2022 - 22:30

score 54 · Answer 3 · 2022-05-17 12:27:46

54

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Indication: $\displaystyle \lim_{x \to \infty}{\int^{x}_{1}{\ln(f(t))dt}}$

Published on 17 May 2022 - 12:27

score 1.3k · Answer 4 · 2022-05-22 23:56:54

1.3k

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Intuition behind Lagrange remainder term in Taylor's Theorem

Published on 22 May 2022 - 23:56

score 87 · Answer 5 · 2022-05-30 11:20:21

87

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Showing that positive central difference limit implies function is strictly increasing

Published on 30 May 2022 - 11:20

score 57 · Answer 6 · 2022-06-03 10:31:53

57

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$f'$ has a limit $\Longrightarrow$ $f$ has a limit without codomain Banach?

Published on 03 Jun 2022 - 10:31

score 57 · Answer 7 · 2022-06-13 08:59:41

57

Views

Application of mean value theorem on integral

Published on 13 Jun 2022 - 8:59

score 36 · Answer 8 · 2022-06-17 23:21:47

36

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Application of Rolle's theorem (a corollary of the mean value theorem of differentiation)

Published on 17 Jun 2022 - 23:21

score 161 · Answer 9 · 2022-06-19 17:33:06

If $ f\left(0\right)=f'\left(0\right)=f'\left(1\right)=0 $ and $f\left(1\right)=1$, then $ \exists x\in[0,1]:|f''\left(x\right)|\geq4 $

score 51 · Answer 10 · 2022-06-24 01:38:55

51

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is there a mean value theorem for derivatives?

Published on 24 Jun 2022 - 1:38

score 56 · Answer 11 · 2022-07-03 15:53:07

56

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If f([-1,2])=[2,8] and f is differentiable, prove there exists c$\in$[-1,2] such that |f'(c)| $\geq$2

Published on 03 Jul 2022 - 15:53

score 52 · Answer 12 · 2022-07-05 20:32:08

52

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Show that there exists a $\xi\in [0,b]$ such that $f(b)=bf'(\xi)$.

Published on 05 Jul 2022 - 20:32

score 539 · Answer 13 · 2022-07-06 19:06:59

539

Views

Using LMVT ( Lagrange's Mean Value Theorem) prove the following inequality

Published on 06 Jul 2022 - 19:06

score 87 · Answer 14 · 2022-07-07 08:23:19

87

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Finding the number of maxima and Minima of $f(x) = \int_0^{x^2} \frac{t^{2} -5t + 4}{2+e^{t}}\,dt$.

Published on 07 Jul 2022 - 8:23

score 75 · Answer 15 · 2022-07-12 22:18:20

75

Views

Is there a way to find/closely estimate the value that the Mean Value Theorem promises?

Published on 12 Jul 2022 - 22:18

List Question

Proving theorem with IVT or rolles theorem

How to apply intermediate value theorem to this quantity?

Indication: $\displaystyle \lim_{x \to \infty}{\int^{x}_{1}{\ln(f(t))dt}}$

Intuition behind Lagrange remainder term in Taylor's Theorem

Showing that positive central difference limit implies function is strictly increasing

$f'$ has a limit $\Longrightarrow$ $f$ has a limit without codomain Banach?

Application of mean value theorem on integral

Application of Rolle's theorem (a corollary of the mean value theorem of differentiation)

If $ f\left(0\right)=f'\left(0\right)=f'\left(1\right)=0 $ and $f\left(1\right)=1$, then $ \exists x\in[0,1]:|f''\left(x\right)|\geq4 $

is there a mean value theorem for derivatives?

If f([-1,2])=[2,8] and f is differentiable, prove there exists c$\in$[-1,2] such that |f'(c)| $\geq$2

Show that there exists a $\xi\in [0,b]$ such that $f(b)=bf'(\xi)$.

Using LMVT ( Lagrange's Mean Value Theorem) prove the following inequality

Finding the number of maxima and Minima of $f(x) = \int_0^{x^2} \frac{t^{2} -5t + 4}{2+e^{t}}\,dt$.

Is there a way to find/closely estimate the value that the Mean Value Theorem promises?

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