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Lecture

# Section 2.1 - The Tangent and Velocity Problem

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School
University of Massachusetts Amherst
Department
Mathematics
Course
MATH 131
Professor
John Gambino
Semester
Fall

Description
2.1 – The Tangent and Velocity Problem  The derivative is:  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 limit of the difference quotient: ( ) ( )  The slope of 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 1. Find the equation of the tangent line to the parabola at the point P(1, 1). x , , 2 4 1.5 2.25 1.1 1.21 1.001 1.002001 **ON AN EXAM LEAVE IN POIN
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