MATH221 Study Guide - Quiz Guide: Difference Quotient, Power Rule

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erinweasel136

12 Sep 2018

School

University of Delaware

Department

Mathematics

Course

MATH221

Professor

Hotchkiss, Calvin

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MATH221 Full Course Notes

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Document Summary

Section 1. 1: the slope of a straight line. The slope of a straight line is y=mx + b. Where m is the slope of the line. Slope is defined as the change is y over the change in x or rise/run. Think of it as ryse/run (as in y/x) If given the graph of a straight line. Use this equation to determine the equation of the line (therefor you need to know at least 2 points on the graph and the slope) If you have the data points (1,2) and (2, 4), you have everything you need to solve the equation of the line: Substitute 1 data point and the slope in the equation: Section 1. 2: the slope of a curve at a point: To find the slope of a curve we must draw a tangent line to the point. The tangent line touches the curve at the specific point and extends as a straight line with a constant slope.

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cyanskunk680

1) Use implicit differentiation to find the slope of the tangentline to the curve

at the point .

"Just need the answer"

2) Use implicit differentiation to find the equation of the tangentline to the curve at the point. The equation ofthis tangent line can be written in the form where is: