See question in image.
Please show workings .

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) is

f'(x) = lim( h tends to 0 )

      = lim( h to 0 )

      = lim(h to 0)

      = (lim(h to 0)

      = lim( h to 0 )

      = lim( h to 0 )

      = lim(h to 0 ) -

Cancel the numerator/denominator of first fraction and h in the second

= lim ( h to 0 ) 1 - ( let h go to zero ), then

f'(x) = 1 -

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

a is the right answer