Grade 11Differential Calculus
X3(x-1)2....find max. Or min. Value of x that is maxima and minima local
X3(x-1)2....find max. Or min. Value of x that is maxima and minima local
1 Answer
Arun
Dear student
f(x) = x³ (x-1)²
f'(x) = 3x² (x-1)² + 2(x-1)x³
f'(x) = 0
3x² (x-1)² + 2 (x-1)x³ = 0
x²( 3x² + 3 -6x + 2x² -2x) = 0
x = 0
And
5x² -8x +3 = 0
(5x -3) (x-1) = 0
x = 3/5 and x = 1
Now
f" (x) =
if f'' is negative then maxima will be obtained and if f" is positive then minima wilp be obtained
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