Please see attachment

a) The value of absolute minimum value = - 0.3536  

b) which is attained at    

Step-by-step explanation:

Step(i):-

Given function

                            ...(i)

Differentiating equation (i) with respective to 'x'

                        ...(ii)

Equating Zero

Step(ii):-

Again Differentiating equation (ii) with respective to 'x'

put

The absolute minimum value at  

Step(iii):-

The value of absolute minimum value

         on calculation we get

The value of absolute minimum value = - 0.3536      

Final answer:-

a) The value of absolute minimum value = - 0.3536  

b) which is attained at      

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0