Math, asked by vvmetta, 1 year ago

F(x) = ((ln(7x−x^2)/ 12))^3/2 is it a decreasing function?

Answers

Answered by vickeydey
1
the derivative of this function should be negative if it is a decreasing function.
so ,
d/dx[ln(7x-x^2)/12))^3/2
=3/2√[ln(7x-x^2)/12]×[{1/(7x-x^2)×(7-2x)×12}/144].
but u have to mention the interval.
also it is not a decreasing function.hence it is an increasing function.

parisakura98pari: why don't u check its graph on google....u'll get ur ans...
vickeydey: no dood
vickeydey: an interval has to be defined
parisakura98pari: well no arguments but it's not necessary to define interval cause in boards they simply ask whether given function is inc.sing or not..........and u have to show them whole process along defining the intervals.
vickeydey: ok then say me the point where the function has maximum value
parisakura98pari: function has its greatest value at 7/2
vickeydey: ooooo
vickeydey: are u mad
vickeydey: if it is an increasing or decreasing function then it can have many values which can be increasing or decreasing
vickeydey: so it can have infinite values
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