Rand any value besided Automatic makes contrasting GrayLevel between f[x] and f'[x] random\n\n
Note: opts represents options to be passed along to Plot.
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RiemannSum::usage = "RiemannSum[f[x], {x, a, b, n}, (proportion)]\n\n
Numerically evaluates the Riemann sum for f[x] on the interval [a,b] using n subdivisions. With the default proportion, the value of f at each interval midpoint is used; proportion = p, 0.0<=p=< 1.0 chooses the point at proportion p of each interval.\n
This is a pedagogical routine, it doesn't replace NIntegrate!
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LeftEndpointRule::usage = "LeftEndpointRule[f[x],{x, a, b, n]\n\n
Left end point approximation of the integral of f[x] on the interval [a,b] using n subdivisions.\n
This is a pedagogical routine, it doesn't replace NIntegrate!
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RightEndpointRule::usage = "RightEndpointRule[f[x], {x, a, b, n}]\n\n
Right end point approximation of the integral of f[x] on the interval [a,b] using n subdivisions. \n
This is a pedagogical routine, it doesn't replace NIntegrate!
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TrapezoidRule::usage = "TrapezoidRule[f[x],{x, a, b, n}]\n\n
Trapezoid rule approximation of the integral of f[x] on the interval [a,b] using n subdivisions.\n
This is a pedagogical routine, it doesn't replace NIntegrate!
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MidpointRule::usage = "MidpointRule[f[x], {x, a, b, n}]\n\n
Midpoint rule approximation of the integral of f[x] on the interval [a,b] using n subdivisions.\n
This is a pedagogical routine, it doesn't replace NIntegrate!
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SimpsonRule::usage = "SimpsonRule[f[x], {x, a, b, n}]\n\n
Simpson rule approximation of the integral of f[x] on the interval [a,b] using n subdivisions.\n
This is a pedagogical routine, it doesn't replace NIntegrate!
Solves f[x] = 0 by Newton iteration with starting value, x = x0.\n
The default value of MaxIterations is equal to the value of the corresponding option for FindRoot[]. Only the iterations necessary to attain single precision machine accuracy are carried out. No warning is given if MaxIterations is reached before attaining machine accuracy, so the cautious user will evaluate the function at the returned value to verify that convergence has occured.\n
x0 must be a number and, if given, MaxIterations must be a positive integer.
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NExtrema::usage = "NExtrema[f[x], {x, a, b}]\n\n
Attempts to solve the closed interval max/min problem. NExtrema relies on NSolve[] to find candidate values. f[x] is a numerical function, and the numbers a, b are the endpoints of the interval.
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Extrema::usage = "Extrema[f[x], {x, a, b}]\n\n
Gives information in symbolic form for the closed interval max/min problem. f[x] is a function, and a,b are the endpoints of the interval. f, a and b may contain symbols. Extrema returns all candidates it can find, but if symbols are involved cannot determine the extrema or decide which candidates are actually in [a,b]. For purely numerical problems, the related function, NExtrema, attempts to solve the closed interval max/min problem with output in decimal form.
