Here is a larger image: http://i40.tinypic.com/dy2mp2.png A particle is moving along the curve y = 2 2x + 2. As the particle passes through the point (1, 4), its x- coordinate increases at a rate of 2 seats per second. Find the rate of charge of the distance from the particle to the particle to the origin at the instant. Solution y = 2 2x+2 dy/dt = 2 * 1/22x+2 *2 dx/dt dy/dt = 2/2x+2 dx/dt dy/dt = 2/2*1+2 2 dy/dt = 2/2 *2 dy/dt =2 distnace also increasing 2 units per second..