Given point Function - AP Calculus - Lecture Notes, Study notes of Calculus

Download Given point Function - AP Calculus - Lecture Notes and more Study notes Calculus in PDF only on Docsity!

Calculus Section 3.9 Notes Learning Targets... 1. Use a tangent line to approximate function values LT: Use a tangent line to approximate function values Find the tangent line to a function at a given point Use it to approximate function values near that point Use the 2™ derivative to determine whether the approximation is low or high © Concave down > oveces¥ imate, © Concave up > wnBetash; 1) f(x) = vx Find the tangent line to the function at x 1: ’ meet tl aly ' us PCxy=eazx *= VE ms faye=r , (4-1 = a Cx-1) \ Approximate f(1.1) using the tangent line. w= Et | OTT 21.048 Use the 2" derivative to determine whether the tangent line under- or overestimates the function. g'd=x* ' vl- ll ve —_——- kage = f"(s)ae~ ag * ux £"Cy= -% és cones 1. ONVatestimoke, 2/3