Question

Find the local maxima and local minima values of function f(x)=
2
+
2

, x > 0.​

Answer 1

Answer:

put question properlly Please

Answer 2

Step 1: First find first derivative of the function

Step 2: Put it equal to zero and find x were first derivative is zero

Step 3: Now find second derivative

Step 4: Put x for which first derivative was zero in equation of second derivative

Step 5: If second derivative is greater than zero then function takes minimum value at that x and if second derivative is negative then function will take maximum value at that x. If Second derivative is zero them it means that this is the point of inflection.

g′(x)=21−x21

Putting this equal to zero, we get 

g′(x)=21−x21=0

⇒x=±2.

Please note that −2 is not in the domain of given function so it is of no use to us

Now let's see the double derivative of this function.

f′′(x)=x34

At x=2