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Find the points at which the function f given by
has
(i) local maxima (ii) local minima
(ii) point of inflexion
Asked by Tanvi Last Modified
Answer The given function is
Now, for values of x close to
and to the left of
Also, for values of x close to and to the right of
Thus, 
is the point of local maxima.
Now, for values of x close to 2 and to the left of
Also, for values of x close to 2 and to the right of 2,
Thus, x = 2 is the point of local minima.
Now, as the value of x varies through −1,
does not changes its sign.
Thus, x = −1 is the point of inflexion.
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