Using the Second Derivative Test In
Exercises 37-58, find all relative extrema of the function. Use the Second Derivative Test where applicable.
To calculate: The relative extrema of the provided function using the second derivative test.
The function .
For a function f that is twice differentiable on an open interval I, if for some c, then,
If the function f has relative minima at c if the function f has relative maxima at c.
First differentiate the provided function,
Equate the first derivative to zero to obtain the critical points.
Now differentiate the function for the second time and replace this for x:
This implies that the function has relative minima at this point
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