strategy

strategy - the point A ( x A , y A ) substitute A into the...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Problem Assume that the tangent lines to the curve (C): f ( x, y ) = 0 pass through the point A ( x A , y A ). Find the coordinates of the points where these tangent lines intersect the curve (C). Strategy Step 1 : Find dy dx or y 0 ( x ). Step 2 : Let the points where the tangent lines intersect the curve (C) be P ( x P , y P ), i.e., f ( x P , y P ) = 0 because P lies on the curve (C). the slope of the tangent lines at P ( x P , y P ) is m = dy dx computed at ( x P , y P ). Step 3 : Use the point-slope formula to write the equation of these tangent lines: y - y P = m ( x - x P ) Step 4 : These tangent lines pass through
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: the point A ( x A , y A ) substitute A into the equation of the tangent lines in Step 3. Then use the information from Step 2 ( f ( x P , y P ) = 0) to solve for x P . Step 5 : After solving for x P , then nd y P . Notice : If you are asked to write the equations of these tangent lines, just go back to Step 3 and substitute each point ( x P , y P ) into the equation of the tangent line. Practice Problems : Question 4 in the Review Set for Test 2 and Problem 16 in Section 3.5. 1...
View Full Document

This note was uploaded on 05/23/2011 for the course MAC 2311 taught by Professor Noohi during the Fall '08 term at FSU.

Ask a homework question - tutors are online