A point moves along the curve y= 2x^2 - 1 in such a way that the y value is decreasing at the rate of 2 units per second. At what rate is x changing when x = -3/2 ?
Not really looking to solve just an explanation on the process of how to get to the solution. Thanks!!
you could try the first derivative test to see at which intervals the function would be increasing or decreasing, but from the values you have, as x gets bigger, y gets smaller
when you differentiate the function you get
you know that is 2in^2/sec, volume with respect to time. radius is 1, just solve for dr/dt, the rate of change of the radius with respect to time. with these problems, its just taking your derivative, realize what is changing and plug in what you know
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