!!!!!Projectile In an Inclined Plane!!!!!
When we differentiate Range w.r.t to an
Angle(say A),
to find the Maxima and Minima!!, we get two values of the quadratic equation(say angle A1 and A2)..
But sumtimes there's just a single root(say A'),
How to find whether this root stands for maxima or minima at that point!!!???

Question

!!!!!Projectile In an Inclined Plane!!!!!
When we differentiate Range w.r.t to an 
Angle(say A),
to find the Maxima and Minima!!, we get two values of the quadratic equation(say angle A1 and A2)..
But sumtimes there's just a single root(say A'),
How to find whether this root stands for maxima or minima at that point!!!???

anonymous · Answer

@theEric  @FoolAroundMath @Kainui  @coolsector

anonymous · Answer

@Preetha

anonymous · Answer

@jhonyy9

anonymous · Answer

@agent0smith

anonymous · Answer

@kropot72 @zepdrix

anonymous · Answer

Any idea Agent??

anonymous · Answer

@mayankdevnani @souvik Help

souvik · Answer

find $$\frac{ d^2R }{ d A^2 }$$ at point A=A1 is negative , then R is maximum at that angle

agent0smith · Answer

Sorry, I didn't even know I had this question open.

agent0smith · Answer

You're talking about the range equation, right? http://upload.wikimedia.org/math/7/7/b/77b1225659924a388acf7d1e0ee19e25.png

anonymous · Answer

Ya @souvik but what if U get not two but only one value of A??

anonymous · Answer

just double differentiate the value..... $$d ^{2}R/dt$$  and if the result is negative then its a maxima and vice-versa for minima

souvik · Answer

if u get one value of A then do the same process this it...

anonymous · Answer

Okay!!