Implicit Method - AP Calculus - Lecture Notes, Study notes of Calculus

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Calculus Section 2.5A Notes Learning Targets... 1. Use Implicit Differentiation to Find a Derivative LT: Use Implicit Differentiation to Find a Derivative e Used if you can’t isolate y e Remember that you are always differentiating with respect to something o eg. dy/dx is the derivative of y with respect to x e Remember: Use chain rule to deal with variables other than what you are differentiating with respect to jd, ay mil = ty are Ae Why don’t we have to do this for x7? e Process... o Differentiate both sides of equation with respect to x o Collect all dy/dx terms on one side of the = o Factor and isolate dy/dx Find dy/dx. 2) [x + tan xy =0\ aK ay Vers gect xy (x 2 +400) =o ie ie Pie a, Rae t= GER dy ay cas xXu+y - & —) XT ee Xy-y | 3k F 2° 4) x*y+xy* =6 a & % aaa wbx ER WALT ES 1/1