Thursday, November 9th “Those who have found real happiness are those who have sought and found how to serve.” Patricia McCann (my mom ) Let’s do some.

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Presentation transcript:

Thursday, November 9th “Those who have found real happiness are those who have sought and found how to serve.” Patricia McCann (my mom ) Let’s do some implicit differentiation! Questions and scoring of 3.7

3.8 Implicit Differentiation Niagara Falls, NY & Canada Photo by Vickie Kelly, 2003

𝐿𝑒𝑡 𝑦= 𝑥 2 −3𝑥. 𝐹𝑖𝑛𝑑 𝑑𝑦 𝑑𝑥 . 𝐿𝑒𝑡 𝑦 2 = 𝑥 2 −3𝑥. 𝐹𝑖𝑛𝑑 𝑑𝑦 𝑑𝑥 . 𝐿𝑒𝑡 𝑥 2 −3𝑥−𝑦 2 =0. 𝐹𝑖𝑛𝑑 𝑑𝑦 𝑑𝑥 . 𝐿𝑒𝑡 2𝑦= 𝑥 2 −3𝑥. 𝐹𝑖𝑛𝑑 𝑑𝑦 𝑑𝑥 .

Find the equation of the line tangent to the circle at the point where x = 0.7. Differentiate both sides w.r.t. x Solve for

3.7 Scoring 13 Derivative 17 29 33 35 39 45 59 73 Second derivative 84 a. 36; b. 21 c. 58