Area function is an antiderivative

About this app

The salami-slice argument: the area function A(x) = ∫ₐˣ f(t)dt is an antiderivative of f. A thin area strip of width dx and height f(x) is added → A′(x) = f(x). Two coupled plots show: the slope of the A curve is the height of f — even for negative values.

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
• Sequential continuity
• Rational functions and asymptotes
• Graphical differentiation

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