Autograph v3 - Graphing capabilities

True-notation equations entered as text Cartesian: y=f(x), x=f(y), implicit; gradient, integral function; reflection in y=x Inequalities (either convention) Piecewise Parametric, polar equations 1st/2nd order Differential eqns (implicit entry) dynamic conditions 1st order: slope field Function definitions f(x), g(x) Constants: families, animations
Plotting controls: including pause; full zoom facilities Co-ordinate points (cursors): individual points, free or attached; locus; groups of points (shapes): transformations; bivariate data: regression lines; centroid; residuals. Dependent points: Solve f(x) = 0, f'(x) = 0, intersections; mid-point; ratio; inversion; centroid; centre of circle.
Straight lines 2 pts; tangent, normal; parallel, perpendicular line; line segment; perpendicular, angle bisector. Exact curves: quadratic, cubic, polynomial through n points; circles: 2 pts, 3 pts; centre and radius; ellipse (3 pts); conic (5 pts); conic by eccentricity. Best fit curves: regression line; best fit polynomial; fit any equation with constants to a data set.
Vectors: copy, scalar multiple, negative, perpendicular, unit vector, sum and difference. Numerical Methods/Areas: bisection; Newton-Raphson; x=g(x) iteration. Area by rectangles, trapezium/Simpson's rule. Transformations: shear, stretch, reflection, rotation, enlargement, translation, 2x2 matrix (15 presets); animations.
Animations: any object driven by a single parameter can be animated (manual/auto). Intelligent Entries: Useful default entries available throughout using editable mathematical text. Graphic images: easily exported to Word. Bivariate/raw data sets easy to import/export Results box: stores all results, intersections, tables of values, coordinates, equations - all as text

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