The table below describes the relationship between x and f(x). Find the first derivative and the second derivative ) for (X= 1). x 0.6 0.8 1 1.4 f(x) 0.697 0.527 0.367 0.140 1.2 0.236

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

When examining the formula of a function that is the result of multiple transformations, how can you tell a horizontal stretch from a vertical stretch?

Pls help ASAP.

The graph of the derivative of a function is given. y 4 2 1 For which x is the (original) function increasing? For which x is the (original) function decreasing? The function is increasing for x> v and decreasing for x Enter a number.

The graph of a derivative function is shown below. Explain what type of function f(x) must be. Use proper mathematical language.

The pounds of bananas sold each week at all Metro Seattle Albertsons stores as a function of price, p , in dollars/pound(lb.) is given by q(p) = 100e7.5-1.5p1. Express the Revenue function in terms of p and then find both the first and second derivatives of the revenue function. Type each of these in your text box, using appropriate standard mathematical formatting notation (like that shown above) in Excel. 2. Use Excel over an interval of [0, 6] in increments of .25 to create values for all 3 of your functions from part 1. This is hard! You should be getting the beginning values shown on the next page. Keep at it until you do!! You must create these values by typing in and using the correct formulas. 3. Use Excel to determine exactly where there are any Maximum and/or Minimum values for Revenue. In your text box, explain fully and completely how you determine where to look, and how you know from the First Derivative Test that you have a maximum or a minimum value. 4. Write a…

9. Please Box the answer and please make it easy to read. Thank you

Write the Leibniz notation for the derivative of the given function and include units. The distance to the ground, D, in feet, of a skydiver is a function of the time t in minutes since the skydiver jumped out of the airplane. The number, N, of gallons of gas left in a gas tank is a function of the distance, D, in miles, the car has been driven.