MATH221 Study Guide - Final Guide: Farad, Product Rule, Natural Logarithm

• School: University of Delaware
• Department: Mathematics
• Course: MATH221
• Professor: Hotchkiss, Calvin

Document Summary

1. 2: the slope of a curve at a point. Slope of a tangent line at point p= (change in y)/(change in x) Find the slope at the following points using the equation y=x^2 a. (-. 4, . 16) b. (-2, 4) c. (-1. 5, 2. 25) The derivative is the slope of a line at a given point. The derivative of f(x) is denoted by f"(x) The derivative is also the rate of change for an equation. To find the equation for the tangent line: y-f(a)=f"(a)(x-a) The secant line is a line that passes through 2 points of f(x), whereas the derivative only passes through 1 points. The slope of the secant line= [f(x+h)-f(x)] / [(x+h)-x] The limit of g(x) is l as it approaches a, if the values of g(x) approach l as x approaches a. Use limits to compute f"(x) for the given function: Determine the function f(x) and the value of a for the following equations.