About the Related Rates Calculator
Classic related-rates scenarios solved with full setup and derivation.
What it is
The Related Rates Calculator solves five classic related-rates scenarios โ a sliding ladder, an expanding sphere, a draining or filling cone, a growing shadow, and an expanding circle. For each, it states the governing geometric equation, differentiates it implicitly with respect to time, and substitutes your known values to find the unknown rate.
Features
Five scenarios
Sliding ladder, expanding sphere, draining cone, growing shadow, and expanding circle.
Full derivation
Governing equation, implicit differentiation, and substitution shown for every scenario.
Labelled diagrams
A simple diagram for each scenario matching the input variables.
Sign conventions
Explicit statement of whether each rate is increasing or decreasing.