Given that,#y=sqrt(4x-7)-2/3(x-4)# find #dy/dx# and show that#(d^2y)/dx^2=(-4)/((4x-7)sqrt(4x-7)#. Hence find the maximum point of the curve?
1 Answer
The maximum is at x = 4.
Explanation:
we have been given that
now ,
=>
=>
now to find maximum point ,
we know that
=>
=>
and therefore
remember at this point the function could be max or minimum.
In order to say that at x = 4 is maximum , do second derivative test
which is less than 0 . So x=4 is the maximum point of the curve