Modules / diffcalc

Differential Calculus

Functions, limits, derivatives and their applications, with practice problems and answer checking.

Version: 0.2.1 in progress
Follows: OpenStax Calculus Volume 1, Chapters 1–4
Level: First-year university, senior secondary
Needs: Lab4IQM 1.7 or newer, Blender 4.2.0 or newer
Commands: 27

Download lab4iqm_diffcalc-0.2.1.zip Read the guide (PDF)

Newton's method: tangent lines stepping toward a root

Try these

Each line is a command from the module's own examples; type it in the Lab4IQM console after import diffcalc.

1.1 A function and its featuresfunction(f=x^3 - 3*x); view2d()

1.1 A piecewise functionfunction(f="x^2 for x < 1; 3 - x for x >= 1", x=-2..4); view2d()

1.1 Composite functionscompose(f=sqrt(x), g=x^2 - 4); view2d()

1.2 Transformations of a graphtransform(f=x^2, a=-1/2, h=2, k=3); view2d()

1.2 Powers x^nfamily(f=x^n, n=(1, 2, 3, 4), x=-2..2); view2d()

1.3 The unit circleunitcircle(t=2*pi/3); view2d()

1.4 An inverse functioninverse(f=x^3 + 1); view2d()

1.4 Restricting the domaininverse(f=x^2, x=0..3); view2d()

Commands

help(diffcalc) in the console lists them with their options.

functionfamilycomposetransforminverseunitcirclesecantlimitsqueezecontinuityivtepsdeltaderivativemotionimplicitdiffrelatedrateslinearizeextremamvtsketchasymptotesoptimizelhopitalnewtonantiderivativepracticecheck