Question

4) Find the rate of change of the distance s between the origin and a moving point on the graph y=x^2-1 when (x,y)= (2,3) and the rate of change of x is dx/dt = 1

Answer 1

Distance between the origin and a moving point be D

sqrt((x)^2 + (x^2 -1)^2) = D.
Find the derivative of this equation in respect to time

Answer 2

So the derivative of that is the rate of change? is that some sort of formula

Answer 3

No this is just the pythagorean theorem

Answer 4

You are trying to find dD/dt

Answer 5

ok so once i find the derivative of the square root thing i will know the rate of change. See i wish that when iread the problem i could see a picture in my head i just get lost