Question

Proving that the following functional equation admits a solution

score 101 · Answer 1 · 2026-02-23 11:18:32

101

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Proving that the following functional equation admits a solution

Published on 23 Feb 2026 - 11:18

score 160 · Answer 2 · 2026-02-23 11:19:58

160

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Prove that there exists some $c>0$ such that $f'(c)=-e^{-c}$

Published on 23 Feb 2026 - 11:19

score 794 · Answer 3 · 2026-02-23 11:15:51

794

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Rolle theorem proof via intermediate value theorem

Published on 23 Feb 2026 - 11:15

score 30 · Answer 4 · 2026-02-23 11:19:44

30

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Relation of functions satisfying rolle's theorem

Published on 23 Feb 2026 - 11:19

score 74 · Answer 5 · 2026-02-23 11:19:47

74

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Existences of Solutions by Using Rolle's Theorem

Published on 23 Feb 2026 - 11:19

score 262 · Answer 6 · 2026-02-23 11:16:39

262

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Rolle's theorem for second derivative

Published on 23 Feb 2026 - 11:16

score 79 · Answer 7 · 2026-02-23 11:17:22

79

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Trying to apply Rolle's Theorem

Published on 23 Feb 2026 - 11:17

score 198 · Answer 8 · 2026-04-07 04:17:45

198

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Rolle's Theorem 1

Published on 07 Apr 2026 - 4:17

score 599 · Answer 9 · 2026-02-23 11:22:55

599

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Using Rolle's theorem prove that if $b^2<3ac$, then there is exactly one root to $f(x) \equiv ax^3+bx^2+cx+d=0$

Published on 23 Feb 2026 - 11:22

score 152 · Answer 10 · 2026-02-23 11:16:36

152

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Prove that the second derivative has a zero

Published on 23 Feb 2026 - 11:16

score 52 · Answer 11 · 2026-02-23 11:15:03

52

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Mean Value Theorem demonstration

Published on 23 Feb 2026 - 11:15

score 111 · Answer 12 · 2026-02-23 11:16:38

111

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A strange exercise concerning second order mean value theorem

Published on 23 Feb 2026 - 11:16

score 107 · Answer 13 · 2026-02-23 11:23:50

107

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Suppose $f:\mathbb R \rightarrow \mathbb R$ is differentiable with $f(0)=f(1)=0$ and $\{x: f^{'}(x)=0\} \subset \{x: f(x)=0\}$.

Published on 23 Feb 2026 - 11:23

score 894 · Answer 14 · 2026-02-23 11:18:59

894

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Using Rolle's Theorem to prove that there are two roots to a function.

Published on 23 Feb 2026 - 11:18

score 35 · Answer 15 · 2026-02-23 11:22:32

35

Views

Prove that $g(1)=3$ if $f'(c)=2g'(c)$ for some real number $c\in(0,1)$

Published on 23 Feb 2026 - 11:22

List Question

Proving that the following functional equation admits a solution

Prove that there exists some $c>0$ such that $f'(c)=-e^{-c}$

Rolle theorem proof via intermediate value theorem

Relation of functions satisfying rolle's theorem

Existences of Solutions by Using Rolle's Theorem

Rolle's theorem for second derivative

Trying to apply Rolle's Theorem

Rolle's Theorem 1

Using Rolle's theorem prove that if $b^2<3ac$, then there is exactly one root to $f(x) \equiv ax^3+bx^2+cx+d=0$

Prove that the second derivative has a zero

Mean Value Theorem demonstration

A strange exercise concerning second order mean value theorem

Suppose $f:\mathbb R \rightarrow \mathbb R$ is differentiable with $f(0)=f(1)=0$ and $\{x: f^{'}(x)=0\} \subset \{x: f(x)=0\}$.

Using Rolle's Theorem to prove that there are two roots to a function.

Prove that $g(1)=3$ if $f'(c)=2g'(c)$ for some real number $c\in(0,1)$

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