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Mary

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6 Questions

views newest activity votes
 
3
votes
1
answer
406
views

Prove: If the function $f$ is continuous on $[a,b]$, differentiable on $(a,b)$ and $f'(x) = 0$ on $(a,b)$, then f must be a constant function

analysis
apr 12 '12 at 18:08 Thomas Andrews 29.9k
 
2
votes
1
answer
113
views

Function with the same derivative are equal up to a constant

real-analysis functions
apr 12 '12 at 20:23 Davide Giraudo 56.3k
1
2
votes
2
answers
66
views

Show $x^2$ in the interval $(0,1/3]$ has no fixed points.

analysis
apr 12 '12 at 2:21 Michael Hardy 48.3k
 
1
vote
1
answer
134
views

Use inverse function theorem to evaluate $d/dx \arcsin(x)$

trigonometry
apr 12 '12 at 16:01 Norbert 20.6k
 
0
votes
2
answers
114
views

Prove: If a function $f: (a,b) \to\mathbb{R}$ is uniformly continuous, then $f(a+)$ and $f(b-)$ are both finite.

analysis
may 13 '12 at 3:20 Pete L. Clark 44.7k
 
0
votes
1
answer
999
views

Approximate cos(58) to four decimal place accuracy using taylor's theorem

taylor-expansion
apr 13 '12 at 1:01 David Mitra 41.1k
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