The points P and Q are moving along the graph of a twice-differentiable function y=f(x) in the
xy-plane in such a way that their coordinates are differentiable functions of time t, and the tangent line
to the graph at the point P intersects the graph also at the point Q at all times. (Assume that the
coordinates are measured in meters and the time is measured in seconds.)
Find f^('')(2) if
(1) the x-coordinate of Q is -1 and decreasing at a rate of 3(m)/(s) when the x-coordinate of P is 2
and increasing at a rate of 4(m)/(s),
y=9x-8 is an equation for the tangent line to the graph of f at the point with x=2, and
(3) y=-6x-23 is an equation for the tangent line to the graph of f at the point with x=-1.
3.The points P and Q are moving along the graph of a twice-differentiable function y= f in the xy-plane in such a way that their coordinates are differentiable functions of time t,and the tangent line to the graph at the point P intersects the graph also at the point Q at all times. Assume that the coordinates are measured in meters and the time is measured in seconds.) Find f"(2)if
the -coordinate of Q is -1 and decreasing at a rate of 3 m/s when the -coordinate of P is 2 and increasing at a rate of 4 m/s
y=9x-8 is an equation for the tangent line to the graph of f at the point with =2,and y=-6x-23 is an equation for the tangent line to the graph of f at the point with x=-1.