Day 12

SLOPE EXERCISES on Derivatives

Slide on derivative curves-understanding

TIP:In the problems below  the idea should be to not get lost in increasing/decreasing shapes of the derivative graph,but to concetrate on the sign of the derivative and how the sign changes...then look for similar slope changes in the matching f(x) graph.

Reminder Trick to avoid confusion:

 Concentrate only on +ve or -ve part   derivative graph .The zero crossing in the f '- graph is the '0' slope point of the f-graph.If you remember this you can identify the related graphs...with some additional checks.

The positive part between two zeros in the f '-graph is the positive slope of the f-graph and vice versa.

You can easily be carried away in a maze when you start analyzing derivative as increasing decreasing slopes-so avoid looking at it the f ' graph (it is mental trick to avoid confusion) though you will be tempted by habit.

More exercises on increasing decreasing

Derivative graphic Tester1(geogebra) Tester2(desmos)