Proving that a function is increasing

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LOL wish my teachers were this energetic

sadiatalukder

I prefer to call dy/dx >= 0 increasing and dy/dx > 0 strictly increasing. That's because increasing functions are not necessarily bijective, while strictly increasing functions are.

mike_the_tutor

I am an indian who is preparing for an entrance exam its like i already know the formula and condition for increasing decreasing function but i wanted to learn it conceptually when i searched for it , it showed solve in 5 min trick or shortcut method but you taught it so brilliantly this is what i wanted to learn thanks for that

ashishgiri

I don't understand, the derivative is = to 0.
But the definition of a monotonic increasing function is that the derivative is > 0 for all x
0 /= to >0
So why is y=1, y=3 and y=100 all increasing?

firenzarfrenzy

Eddie woo, I wish I was this exited about math's.

kindlydols

you drew 3 different fn in first cartesian plane. how can you say they are the same fn? also what if you draw y=-1 then it will be below the x axis.

JamesLee-cjgg

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