Parameters (m, b) at x₀ = 3

About this app

Piecewise ½x²+x−4 | mx+b at the kink x=3 — sliders m, b with snap buttons onto continuity (3m+b=3.5) and differentiability (m=4, b=−8.5). Mini parameter-space plot shows line and intersection.

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

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