Mary

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6 Questions

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3	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
2	Function with the same derivative are equal up to a constant
2	Show $x^2$ in the interval $(0,1/3]$ has no fixed points.
1	Use inverse function theorem to evaluate $d/dx \arcsin(x)$
0	Prove: If a function $f: (a,b) \to\mathbb{R}$ is uniformly continuous, then $f(a+)$ and $f(b-)$ are both finite.

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47 Reputation

+6	Approximate cos(58) to four decimal place accuracy using taylor's theorem
+15	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
+10	Function with the same derivative are equal up to a constant
+5	Use inverse function theorem to evaluate $d/dx \arcsin(x)$

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0 analysis × 3	0 real-analysis
0 taylor-expansion	0 functions
0 trigonometry

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$Mathematics Stack Exchange$

Mathematics

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