Differential Calculus2D
Applications of the Derivative - Theory & Concepts - Ladder
Apply differentiation to solve problems in motion, optimization, geometric analysis, and marginal cost.
Open the complete lessonRelated Rates: Sliding Ladder
Length (L)10 m
x6.00 m
y8.00 m
Assume dx/dt = 2 m/s
dy/dt-1.50 m/s
Notice how dy/dt (speed of top of ladder) increases dramatically as x approaches L (bottom pulls away).