List questions from rolles-theorem

Published on 14 Mar 2017 - 23:23

116

Views

Show that $f(x)=0$ if there is zero arbitrarily close to $0$ for $f(x)=\sum_{n=0}^{\infty}a_nx^n$

Published on 16 Mar 2017 - 21:56

14.1k

Views

Using Rolle's Theorem to prove roots.

Published on 25 Mar 2017 - 17:28

1.5k

Views

Application of Rolle's theorem? Establish existence of $c\in(a,b)$ such that $f(c)+f'(c)=f(c)f'(c)$

Published on 31 Mar 2017 - 1:19

139

Views

How do I prove that then $f(x) = 1$ for some $x ∈ [0, 1]$?

Published on 04 Apr 2017 - 19:38

226

Views

Given $f$ continuous on $[-1, 1]$ and twice differentiable on $(-1, 1)$. Prove $f''(c) = 1$ for some $c \in (-1, 1)$.

Published on 05 Apr 2017 - 16:15

334

Views

Why do we need continuity at the end points of the interval for Rolle's theorem?

Published on 23 Feb 2026 - 13:28

697

Views

Prove the existence of a point $c$.

Published on 24 Feb 2023 - 11:22

73

Views

Prove that there exists $d$ in$(a,b)$ such that $f'''(d)=0$

Published on 25 Feb 2023 - 5:59

81

Views

Prove location of roots

Published on 13 Mar 2023 - 16:27

53

Views

Prove that $ f([0,1]) = [0, \frac{1}{e}] $

Published on 24 Mar 2023 - 8:47

54

Views

Existence of $\xi$

Published on 26 Apr 2023 - 12:18

56

Views

How to adapt this proof of l'Hospital's rule to the case $\lim f(x)= \infty = \lim g(x) $

Published on 28 Apr 2023 - 6:59

56

Views

$f(x_0) + f''(x_0) = 2f'(x_0)$

Published on 23 Feb 2026 - 14:55

301

Views

Application of Rolle's theorem in real analysis

Published on 04 May 2023 - 5:27

List Question

Why Rolle's theorem gives me wrong answer?

Show that $f(x)=0$ if there is zero arbitrarily close to $0$ for $f(x)=\sum_{n=0}^{\infty}a_nx^n$

Using Rolle's Theorem to prove roots.

Application of Rolle's theorem? Establish existence of $c\in(a,b)$ such that $f(c)+f'(c)=f(c)f'(c)$

How do I prove that then $f(x) = 1$ for some $x ∈ [0, 1]$?

Given $f$ continuous on $[-1, 1]$ and twice differentiable on $(-1, 1)$. Prove $f''(c) = 1$ for some $c \in (-1, 1)$.

Why do we need continuity at the end points of the interval for Rolle's theorem?

Prove the existence of a point $c$.

Prove that there exists $d$ in$(a,b)$ such that $f'''(d)=0$

Prove location of roots

Prove that $ f([0,1]) = [0, \frac{1}{e}] $

Existence of $\xi$

How to adapt this proof of l'Hospital's rule to the case $\lim f(x)= \infty = \lim g(x) $

$f(x_0) + f''(x_0) = 2f'(x_0)$

Application of Rolle's theorem in real analysis

Trending Questions

Popular # Hahtags

Popular Questions