Manga Story

In this calculus manga , trajectory analyst Alex is tasked with tracking a test rocket at Mission Control. Ten seconds after launch, Alex must determine the rocket's instantaneous velocity, explaining that visually, this is represented by the slope of the tangent line on the height graph at that precise point. To perform the calculation accurately, Alex works with Supervisor Sam to use the formal limit definition of the derivative, breaking down the algebraic steps. The mission is briefly interrupted by a sensor glitch that causes a clear discontinuity on the ascent graph. Alex analyzes this anomaly, explaining that because the function is not continuous at that moment, it cannot be differentiable. After resolving the issue, the rocket’s path stabilizes, but the flight stages become more complex. Realizing the limit definition is too slow for these new models, Alex utilizes basic differentiation rules to rapidly compute the velocity, confidently leading the mission to orbit.