MATH 1550 : Test Guide 2

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15 Mar 2019
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Recitation: sections 3. 1-3. 6, 3. 9 and 3. 10 instructor: dr. harhad. Be prepared to differentiate functions using the following rules. The procedure of implicit differentiation is as follows: differentiate both sides of the equation with respect to x, collect the terms with dy dx on one side of the equation, factor out dy dx, solve for dy dx. General strategy for solving related rates problems. or: read the problem carefully, draw a picture if applicable, and label the picture appropriately. Assign symbols to all quantities that are function of time: write an equation that relates the previous quantities . sometimes a simple formula is all that necessary. Y = f (x + x) f (x) Find equations of the tangent line and normal line to the curve y x. Find the first and second derivative of the function. Find the points on the curve y = 2x3 + 3x2 12x + 2 where the tangent line is horizontal.