At what value(s) of x does f(x) = -x4 + 2x2 have a relative maximum? (4 points)

x = -1 ,+1

Step-by-step explanation:

Let y be a function of x given in question

Simply differentiate it to get it's derivative and then equate to zero to find it's extremams.

Now equate it's derivative to zero.

=0

So, after solving we get

x=0,1,-1

Now by graphical interpretation we can observe that it is even function thus it is symmetric about Y axis. Also it passes through origin.

At minus and plus infinity of x y tends to minus infinity.

Also check nearby values to 1 or -1.

Thus at -1 and +1 there is maxima symmetrically.

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8