Chapter 4, Problem 64RE

How can you determine whether a function is odd or even from the formula of the function?

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

Use logarithmic differentiation or an alternative method to find the derivative of the function. y = (x4 + 2)2(x³ + 4)4

Quantity vs. Rate-of-Change The projected number of senior citizens in the U.S. for the years 1995 through 2030 can be modeled by N(x), million senior citizens, where x is the number of years after 2000. N(x) = 0.03x2 + 0.315x + 34.23 (a) Find the derivative of N(x) and use it to complete the model statement below. (Refer back to Section 3.2 of your text (or ebook) for simple derivative rules.) N'(x)= --select units-- O gives the projected rate at which the number of senior citizens is changing x years after 2000, for the years 1995 through 2030. Use the appropriate function from above to answer questions b through d. (b) What is the projected number of senior citizens in the year 2025? (Round your answers to 3 decimal places.) million senior citizens (c) What is the projected rate of change of the number of senior citizens in 2025? (Round your answers to 3 decimal places.) million senior citizens per year (d) The Census Bureau predicts that in 2030, 20.1% of the U.S. population will…

Chapter 3, Differentiation In Exercises 51- 54, find the slope of the tangent line to the graph of the logarithmic function at the point (1, 0).

topic: differentiation and applications compute for what is being asked and show complete solution

(x+6)(x+8)³ y = (x+3)³(x+5)5 Differentiate using Logarithmic Differentiation