Question

A point moves along the curve y = 2x^2 in such a way that the y value is increasing at the rate of 8 units per second. At what rate is x changing when x = 1.5?

Answer 1

y = 2x^2
dy/dt = 8
What is dx/dt when x = 1.5?

Differentiate both sides with respect to t and plug in the numbers.