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Let f(x)={x^(3)+x^(2)+10x, xlt0.Investig...

Let f(x)=`{x^(3)+x^(2)+10x, xlt0`.Investigate x=0 for local
`-3sinx,xge0`
maxima/minima.

Text Solution

Verified by Experts

Here f(0)=-3 sin 0=0
lim `[x(x^(2)+x+10)]=0^(-)`
`lim(-3sin x )=0^(0^(-))` ltbrrgt Thus `f(0) gt f(x-delta) and f(x)gtf(x+delta)`
So , x =0 is point of maxima.
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