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- logf[x_, a_, b_] := Log[a*x/(1 - b*x)]
- With[{a = 1},
- Plot3D[logf[x, a, b], {x, 0, 1}, {b, 0, 1},
- ClippingStyle -> None,
- PlotPoints -> 100]]
- D[logf[x, a, b], x] // Simplify
- Plot3D[1/(x - b*x^2), {x, 0, 1}, {b, 0, 1},
- ClippingStyle -> None]
- D[logf[x, a, b], {x, 2}] // Simplify
- Plot3D[(-1 + 2*b*x)/(x^2*(-1 + b*x)^2), {x, 0, 1}, {b, 0, 1},
- ClippingStyle -> None,
- PlotPoints -> 100]
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