What is the relationship between limits and derivatives? explain with examples of your own.

Step-by-step explanation:

Assume you have a function of x, call it f(x).

The limit of the function as x approaches some number represents the value of f with respect to x.  

The derivative of f(x) represents the rate of change of the function at x.

So the derivative would give you the rates of change of the function as x approaches some number.  

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

c. side angle side. u shares the same sides