← Back to Test

Problem 12 - Entrance Test

A particle moves along the curve x = t^2 + 1, y = 2t^3 - 1. Find dy/dx at t = 1.

Correct: A

dx/dt = 2t, dy/dt = 6t^2. dy/dx = (dy/dt) / (dx/dt) = (6t^2) / (2t) = 3t. At t = 1, dy/dx = 3(1) = 3.