Parameters (a, b) for continuity & differentiability

About this app

Piecewise x+2 | a+bx² at the kink x=1: drag sliders a, b — continuity is a line in (a,b)-space, differentiability is a point. With a mini parameter-space plot showing the solution set live.

Subject: Analysis (one-dimensional)

More from Analysis (one-dimensional)

• Derivative as a sequence of secants
• Bounded growth
• Exponential growth and decay
• Optimisation: the largest rectangle
• Area between curves
• Area function is an antiderivative
• Sequential continuity
• Rational functions and asymptotes

A VisuApp by heyprof: interactive, free in your browser, no sign-up. What is a VisuApp? · All apps