MAT135H1 Study Guide - Final Guide: If And Only If

• School: UTSG
• Department: Mathematics
• Course: MAT135H1
• Professor: Reyes

Document Summary

2. 2 derivatives of polynomial functions: constant function rule: k= , where k" is a constant, then _________________________ f"cx o. Example 1: find the derivative of the following: ( ) 3 f x = x. , where n" is a real number, then _________________________ f cx n n i. Example 2: find the derivative of the following: f x x= , where k" is a constant, then _________________________ f cx k g ex k de. 2x: constant multiple rule: kg x f x. ____________________________________ f cx p cx t g x. Leibniz notation: dd_ fcx da pcx t ddqcx: difference rule: If functions ( )p x and ( )q x are differentiable, and f x p x q x. 5 x rewriteas an exponent fcx 4 6 f cx 4 67 6 t t t f cx. Example 5: determine the equation of the tangent line to the graph of f x.