1. Tardigrade
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  4. The total number of local maxima and local minima of the function f(x)= begincases(2+x)3, -3 < x ≤-1 x2 / 3, -1 < x < 2 endcases is

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Q. The total number of local maxima and local minima of the function
$f(x)=\begin{cases}(2+x)^{3}, & -3 < x \leq-1 \\ x^{2 / 3}, & -1 < x < 2\end{cases}$ is

JEE AdvancedJEE Advanced 2008

Solution:

Local maximum at $x =-1$
and local minimum at $x =0$
Hence total number of local maxima and local minima is $2 .$
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