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Question

Find the intervals in which the function f given by f(x)=x3+1x3,x0 is
decreasing


Solution

Given, f(x)=x3+1x3
On differentiating w.r.t. x, we get f(x)=3x623x4
(b) f(x) is decreasing, if f(x)0
3x23x40x61(X2)31x211x1
f is decreasing in -1 < x < 1.

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