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Differentiation - AP Calculus - Lecture Notes, Study notes of Calculus

Birla Institute of Technology and ScienceCalculus

This lecture is from AP Calculus. Key important points are: Differentiation, Graphical Calculations, Rules of Integration, Implicit Differentiation, Log Differentiation

Typology: Study notes

2012/2013

Uploaded on 01/31/2013

ekavia
ekavia 🇮🇳

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Calculus Section 5.1C Examples ae implicit differentiation to find dy/dx. &’ -—4lny+y? =12") su > pe te 3y =o y 3x EUS Show that the function is a solution of the differential equation. 2) Function: y = 3lnx+5 Dif ferential equation: xy" + y’ =0 — Bx ire v x (ee + @=6 y' -&@ x5 a % ~2+2206 o=0 LT: Use log differentiation Notes e Use this when quotient rule looks like a colossal headache e Steps... o Take In of both sides (use log properties) o Differentiate implicitly o Get dy/dx by itself o Back-substitute for y Examples Find the derivative. 1/2