WRITE AN EQUATION THAT MODELS EACH STATEMENT :
2 answers:
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Answer: A differentiable function has a local minimum at the point
if two conditions are met: the value of its first derivative is equal to zero at that point and the value of its second derivative is negative at that point.
Step-by-step explanation: The procedure for finding the local minima of the function is the following.
Step 1. Find the first derivative of the function , denoted by
according to the rules of derivation.
Step 2. Find all such that
Denote these solutons by
.
Step 3. Find the second derivative of the function , denoted by
. Evaluate this derivative at each point found in step 2. Only If, say
then
is the local minimum and the same goes for all other values of
you found in step 2.