Task 1
The cost of production of a commodity(or a unit) is given by:K(x) = 0:7x^2 + 32x + 1025 where x is amount of units that are being produced and sold. company sells for 291 kr per product.
-find the profit-function.
-factorize profit-function and use it to show in which intervals the production goes with a surplus/profit .
- calculate how many units must be produced in order to achieve maximum profit , and also find the maximum profit .

Task 2
A) i) Find f'(x) and f''(x) for the function
f(x) = -0.005 x^3 + 0.08 x^2 -1.25 x + 10.

ii) show that the function doesn't have any local extremal-points.
B) Profit from the sale of x units of a commodity is given by:
P(x) = -2x^3 + 39x^2 + 2520x - 1030, where x ?:0

Find P'(x).
Find the value of X that gives maximum profit, and also find the maximum profit.
Show that it really is a maximum.

Task 3

A)find g'(x) and g''(x) for the function that is written there, (please see attached file.)
B) Derive the following:(see attached file)
C) Derive the following functions:(see attached file)

Task 4

A)Perform the follwing poly-division: (see attached file)
B)Check if the poly-division goes up without performing the devision.:

Task 5

A) let f(x)......
Find f'(x.
Find also asymptote for the function.
B) Find asymptote for the following function g(x)=

Task 1 The cost of production of a commodity(or a unit) is given b...