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f(x)=(x+1)^3 (x-1)^3 prove if its increasing or decreasing using geometrical representation

f(x)=(x+1)^3 (x-1)^3 prove if its increasing or decreasing using geometrical representation
 

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5964 Points
2 months ago
Dear Student

(x-1)3(x+1)3= (x2-1)3
on differentiation
f’= 3(x2-1)2.(2x) = +ve for +ve value of x and negative for negative value of x

Hence,it is neither increasing nor decreasing

Thanks

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