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.

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 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 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.

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 :)