T3-rev-23998-filled

T3-rev-23998-filled - Math 1314 Test 3 Review Topics...

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Math 1314 Test 3 Review Topics: Writing Equations of Tangent Lines Rate of Change Word Problems Including Velocity Finding Where Slope of Tangent Line is k Using Marginal Functions and Average Cost Function Finding Intervals Where a Function is Increasing/Decreasing Finding Relative Extrema Finding Intervals Where a Function is Concave Up/Concave Down Finding Inflections Points Finding Rational Zeros Using the Guide to Curve Sketching Example 1: Suppose 2 ( ) 3 5 f x x x = - . Find the equation of the line tangent to f at the point (1, -2).

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Example 2: Find all values of x for which the line tangent to 2 ( ) 3 5 f x x x = - is horizontal. Example 3: Find all values of x for which the slope of the line tangent to 2 ( ) 3 5 f x x x = - is 7.
Poppers! 1. Suppose ( ) x f x xe = . Find all values of x for which the line tangent to f is horizontal. a. 1 b. -1 c. 0 d. 2 e. none of these 2. Suppose ( ) 4 x f x e = . Find all values of x for which the slope of the line tangent to f is 2. a.

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T3-rev-23998-filled - Math 1314 Test 3 Review Topics...

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