Question

21.
To find the minimum or the maximum of a function, we set the gradient to zero
because
A The value of the gradient at extrema of a function is always zero
B Depends on the type of problem
C Both A and B
D None of the above
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Answer 1

Explanation:

option -a. The value of the gradient at extrema of a function is always zero ..

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Answer 2

To find the minimum or the maximum of a function, we set the gradient to zero because the value of the gradient at the extrema of a function is always zero. (Option A)

• The maxima and minima of a function are the function's largest and smallest values inside a range or throughout the whole domain, respectively. They're sometimes referred to as "function extrema" when they're grouped together. The maxima and minima are the plurals of the maximum and minimum values of a function.
• Take the derivative of a function and determine the value of x at which it becomes zero to find the maxima and minima. The function is then differentiated twice, with the first step's x value being used to check the function's sign.
• If the function returns a positive value, it has a minimum at that value of x, whereas if it returns a negative value, it has a maximum at that value of x.