MATH 131 Lecture Notes - Farad, Difference Quotient

• School: UMASS-Amherst
• Department: Mathematics
• Course: MATH 131
• Professor: John Gambino

Document Summary

The instantaneous rate of change of a function f(x) with respect to x at x=a. The slope of the tangent line to the curve y=f(x) at x=a. The secant line finds the average rate of change whereas the tangent line finds the instantaneous rate of change: find the equation of the tangent line to the parabola at the point p(1, 1). x. **on an exam leave in point-slope form** y y1 = m(x x1: a tank holds 1,000 gallons of water, which drains from the bottom in hour. Estimate how fast water is draining at t=15. t (time) v (water left in tank)