find maximum and minimum of y=5x^3+2x^2-3x
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Answered by
1
Answer:
maximum value is 1.44 and minimum value is
-0.6
Answered by
1
HEYA,,,,
the minimum value of
y= 5x^2 -4x +3
If we take y=0 , then x becomes non real as 'D' or (b^2 -4ac) becomes < 0
If we take y = for any negative ( -ve )value , x becomes non real
=> y > 0 ,
y = 5x^2 -4x +3
Here, in the above function we need the minimum positive value of the function
=> 0 = 5x^2 -4x +(3-y)
x = {-b +,- √(b^2 - 4ac)} / 2a
=> x = { 4 +,- √(16 - 4*5*(3-y) ) } /10
If we make D= 0 , we get the minimum value of the function.
For making D= 0
4ac = 16
=> 20(3-y) = 16
=> 3-y = 16/20= 4/5
=> y = 3 - 4/5
=> y = 11/5
Minimum value of the function= 11/5
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