Find the maximum and minimum values , if any , of the function f given by `f(x)=3-|x|`

Explanation

Solution:

(i)As we know, Maximum or minimum can be seen by using derivatives.

Here are some steps:

Step1: First find the first derivative of the function

Step2: Put it equal to zero and find x where the first derivative is zero

Step3: Now find the second derivative

Step4: Put x for which first derivative was zero in equation of second derivative

Step5: If second derivative is greater than zero then function takes minimum value at that x and if second derivative is maximum then function will take maximum value at that x.

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