Find the value of local maxima of the following function, y = x3 + 3x2 – 9x + 2
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Answer:
f(x)=x^3+3x^2-9x+2
f'(X)=3x^2+6x-9
f''(X)=6x+6
let f'(X)=0
3x^2+6x-9=0
X=1, -3
f''(1)=12>0
f''(-3)=-12<0
answer is X=-12 is a point of local maxima
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