DOC

Implicit Differentiation (3

By Tiffany Arnold,2014-01-07 06:39
10 views 0
Implicit Differentiation (3

    Name ______________________ AP Calculus AB

Chapter 3 Day 4 Implicit Differentiation (3.7)

We often have equations of graphs that don’t come in the convenient explicit form

    33 . For example: . In such a case we must use what is called ;;yfxx4y6y8

    implicit differentiation:

     Steps for Implicit Differentiation: 1) Differentiate both sides with respect to x. dy on one side of the equation. 2) Collect the terms with dx dy 3) Factor out . dx

    dy 4) Solve for . dx

    dy2Example: Find if and find the slope of the tangent when . yxx4dx

    22Example: Find the slope of the circle at the point ;;. xy253,4

    Name ______________________ AP Calculus AB

Chapter 3 Day 4 Implicit Differentiation (3.7)

    dyExample: Show that the slope is defined at every point on the graph of dx

    2 . 2yxsiny

    22Example: Find the tangent and normal to the ellipse at . ;;xxyy71,2

    2dy32Example: Find the second derivative if . 2x3y82dx

    Homework: pg 155 1 35 odd, 37a, 41, 49

Report this document

For any questions or suggestions please email
cust-service@docsford.com