Question

Proving that first derivative vanishes

score 45 · Answer 1 · 2018-11-22 23:14:23

45

Views

Proving that first derivative vanishes

Published on 22 Nov 2018 - 23:14

score 1.4k · Answer 2 · 2018-11-25 19:45:03

1.4k

Views

If $f(x)$ has $n$ distinct roots in $R$, then $f'(x)$ has $n-1$ distinct roots in $R$ Without Rolle's Theorem

Published on 25 Nov 2018 - 19:45

score 499 · Answer 3 · 2018-11-28 05:42:15

499

Views

Prove, without using Rolle's theorem, that a polynomial $f$ with $f'(a) = 0 = f'(b)$ for some $a < b$, has at most one root

Published on 28 Nov 2018 - 5:42

score 256 · Answer 4 · 2018-11-29 18:00:22

256

Views

Application of mean value and Rolle's theorems - twice differentiable functions

Published on 29 Nov 2018 - 18:00

score 937 · Answer 5 · 2018-12-05 19:00:12

937

Views

The equation $ f'(x)=f(x)$ admits a solution

Published on 05 Dec 2018 - 19:00

score 271 · Answer 6 · 2018-12-14 14:07:51

271

Views

Apply Rolle's theorem to find real roots

Published on 14 Dec 2018 - 14:07

score 77 · Answer 7 · 2018-12-15 02:11:49

77

Views

Constructing a new function $F(x)$ and apply Rolle's Theorem

Published on 15 Dec 2018 - 2:11

score 153 · Answer 8 · 2018-12-20 02:03:02

153

Views

Rolle's theorem and the closed interval

Published on 20 Dec 2018 - 2:03

score 136 · Answer 9 · 2019-02-18 11:42:36

136

Views

Prove $\frac{f'(\xi)}{g'(\xi)}+\frac{f'(\eta)}{g'(\eta)}=0$

Published on 18 Feb 2019 - 11:42

score 145 · Answer 10 · 2019-02-20 10:05:45

145

Views

Let $f:\mathbb R\to \mathbb R$ be differentiable such that $f'(x)>f(x)$ for all $x\in \mathbb R$ and $f(0)=1$, then $f(1)$ lies in which interval?

Published on 20 Feb 2019 - 10:05

score 660 · Answer 11 · 2019-02-23 19:07:21

660

Views

Limits of Rolle theorem

Published on 23 Feb 2019 - 19:07

score 95 · Answer 12 · 2019-03-04 15:40:07

95

Views

Proving a lemma for a dichotomy

Published on 04 Mar 2019 - 15:40

score 215 · Answer 13 · 2019-03-21 10:27:05

215

Views

Proving $\sin(x) < x$ for $0<x<2\pi$

Published on 21 Mar 2019 - 10:27

score 2.6k · Answer 14 · 2019-03-31 05:58:08

2.6k

Views

Using Rolle's theorem to show $e^x=1+x$ has only one real root

Published on 31 Mar 2019 - 5:58

score 941 · Answer 15 · 2019-03-31 17:29:35

941

Views

Given $a_0, a_1,....,a_n$ are the real numbers satisfying

Published on 31 Mar 2019 - 17:29

List Question

Proving that first derivative vanishes

If $f(x)$ has $n$ distinct roots in $R$, then $f'(x)$ has $n-1$ distinct roots in $R$ Without Rolle's Theorem

Prove, without using Rolle's theorem, that a polynomial $f$ with $f'(a) = 0 = f'(b)$ for some $a < b$, has at most one root

Application of mean value and Rolle's theorems - twice differentiable functions

The equation $ f'(x)=f(x)$ admits a solution

Apply Rolle's theorem to find real roots

Constructing a new function $F(x)$ and apply Rolle's Theorem

Rolle's theorem and the closed interval

Prove $\frac{f'(\xi)}{g'(\xi)}+\frac{f'(\eta)}{g'(\eta)}=0$

Let $f:\mathbb R\to \mathbb R$ be differentiable such that $f'(x)>f(x)$ for all $x\in \mathbb R$ and $f(0)=1$, then $f(1)$ lies in which interval?

Limits of Rolle theorem

Proving a lemma for a dichotomy

Proving $\sin(x) < x$ for $0<x<2\pi$

Using Rolle's theorem to show $e^x=1+x$ has only one real root

Given $a_0, a_1,....,a_n$ are the real numbers satisfying

Trending Questions

Popular # Hahtags

Popular Questions