I
iTeachChem4mo ago
Abhi

Maths Monotonicity Question Doubt

How to solve it ?
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11 Replies
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@Apu
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SirLancelotDuLac
The derivative of the given function (xsinx+cosx) is xcosx which turns from +ve to -ve with maxima at pi/2. Putting x=pi/2 gives f(x)=pi/2 and f(0)=1, f(pi)=-1. So the graph will increase from 1 to pi/2 abd then Decrease to -1 Thus it acquires the value 1.5 at 2 places in between.
Abhi
AbhiOP4mo ago
Hmm graphs are bugging me
Dexter
Dexter4mo ago
They do Actually Trigonometric and algebric graphs mixed are very weird to draw on rough
Abhi
AbhiOP4mo ago
How to improve my graphing skills ?
Dexter
Dexter4mo ago
Step wise learn karo how to make a graph It's standard procedure First check x and y intercepts. Then calculate critical points Then find the increasing or decreasing nature of the graph in different intervals Then calculate lim fx x--> infinity and -infinity and draw a horizontal line if the value is finite
SirLancelotDuLac
If you want rigorous practise, you could check out "Playing with Graphs", although if you are clear with graphs, it wouldn't be very benefecial :/ Ig you can skim through, its a small book.
Monishrules
Monishrules4mo ago
honestly its so bad it doesnt even have actually interesting graphs i mean you should just do functions questions at that point
Abhi
AbhiOP4mo ago
+solved @SirLancelotDuLac @Dexter
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