# MAT 1221 Survey of Calculus Section 3.1 Increasing and Decreasing Functions

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MAT 1221 Survey of Calculus Section 3.1 Increasing and Decreasing Functions http://myhome.spu.edu/lauw

HW WebAssign HW 3.1 Additional HW listed at the end of the handout (need to finish, but no need to turn in) Please do your HW ASAP. Do not wait for Tuesday to do your HW. Read 3.2 for tomorrow.

Tutoring Bonus-Bonus Points 5 points for tutoring in the tutoring room 5 additional points from Caylee

Max/Min We are interested in max/min values Minimize the production cost Maximize the profit Maximize the sunlight exposure of plants

Preview Define increasing/Decreasing Function Increasing/Decreasing Test

Increasing/ Decreasing Functions x y t s

Increasing/ Decreasing Test

x y a b

x y a b

x y a b

x y a b

How to find the intervals of increasing and decreasing? x y a c b >0 =0 <0

Critical Number

Increasing/ Decreasing Test x y a c b >0 =0 <0

Increasing/ Decreasing Test The critical numbers divided the interval into subintervals. x a c b

x Increasing/ Decreasing Test a c b

Example 1 Find the intervals of increasing and decreasing of

Example 1 1. Find the critical numbers

Example 1 2. Sketch a diagram of the subintervals formed by the critical numbers

Example 1

Expected Solution Steps

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