expo

A-Math: Find Coordinates and Nature of Stationery Point (Plus: Tips to note in Differentiation)

The following question is similar to June 2008 GCE O Level A-Math Paper question which is testing on the following concepts

Differentiation involving exponential (I have written a post on Differentiation of e; post on Basic Differentiation Techniques are available here too )

Finding coordinates and nature of stationary point (Application of Differentiation)

Watch the video for a few more important tips on handling this sort of question.

What Has My Left Palm Got To Do With Math?

Palm Reading for my Destiny? Nope.

I was recently doing graph topics with some students. And some were complaining how much they have to memorize until I revealed to them some of the Underground Secrets on Mastery Of Graphs. They were amazed and amused.

Click on pictures for clearer view

Our palms have the exponential graph $y=e^x$ embedded on them! Now you have 1 less graph to take care of. Just ensure you keep your hands nice and clean so that the palm lines stay on for you forever.

When the need to draw $y=e^x$ arises, flip that palm up :)

Warning: You ought to do it tactfully in case the invilgator suspects you of cheating. Haha

I will be writing on more secrets on Mastery of Graphs. If you like these secrets, subscribe to singaporeolevelmaths for free to be posted of more updates.

Differentiation of e

How to differentiate e^tanx?

first of all to differentiate e^anything = (Diff anything)*e^anything

so to differentiate e^tanx = (Diff tanx)*e^tanx = sec^2x*e^tanx

btw, i couldn't remember what is Diff tanx = to, but i know how to sinx & cosx
so tanx=sinx/cosx Diff using quotient rule, get the ans within 30s :)