The point P(0.25,12) lies on the curve y=3/x . Let Q be the point (x,3/x).
a.) Find the slope of the secant line PQ for the following values of x.
If x=0.35, the slope of PQ is:
If x=0.26, the slope of PQ is:
If x=0.15, the slope of PQ is:
If x=0.24, the slope of PQ is:
b.) Based on the above results, guess the slope of the tangent line to the curve at P(0.25,12).