Finite Mathematics and Applied Calculus (MindTap Course List)
7th Edition
ISBN: 9781337274203
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
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Question
Chapter 16.2, Problem 11E
To determine
To calculate: The derivative of the function
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Chapter 16 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
Ch. 16.1 - Prob. 1ECh. 16.1 - Prob. 2ECh. 16.1 - Prob. 3ECh. 16.1 - Prob. 4ECh. 16.1 - Prob. 5ECh. 16.1 - Prob. 6ECh. 16.1 - Prob. 7ECh. 16.1 - Prob. 8ECh. 16.1 - Prob. 9ECh. 16.1 - Prob. 10E
Ch. 16.1 - Prob. 11ECh. 16.1 - Prob. 12ECh. 16.1 - Prob. 13ECh. 16.1 - Prob. 14ECh. 16.1 - Prob. 15ECh. 16.1 - Prob. 16ECh. 16.1 - Prob. 17ECh. 16.1 - Prob. 18ECh. 16.1 - Prob. 19ECh. 16.1 - Prob. 20ECh. 16.1 - Prob. 21ECh. 16.1 - Prob. 22ECh. 16.1 - Prob. 23ECh. 16.1 - Prob. 24ECh. 16.1 - Prob. 25ECh. 16.1 - Prob. 26ECh. 16.1 - Prob. 27ECh. 16.1 - Prob. 28ECh. 16.1 - Prob. 29ECh. 16.1 - Prob. 30ECh. 16.1 - Prob. 31ECh. 16.1 - Prob. 32ECh. 16.1 - Prob. 33ECh. 16.1 - Prob. 34ECh. 16.1 - Prob. 35ECh. 16.1 - Prob. 36ECh. 16.1 - Prob. 37ECh. 16.1 - Prob. 38ECh. 16.1 - Sunspot Activity The activity of the Sun...Ch. 16.1 - Prob. 40ECh. 16.1 - Prob. 41ECh. 16.1 - Prob. 42ECh. 16.1 - Prob. 43ECh. 16.1 - Housing Starts (Based on Exercise 42, but no...Ch. 16.1 - Prob. 45ECh. 16.1 - Prob. 46ECh. 16.1 - Prob. 47ECh. 16.1 - Prob. 48ECh. 16.1 - Prob. 49ECh. 16.1 - Prob. 50ECh. 16.1 - Prob. 51ECh. 16.1 - Prob. 52ECh. 16.1 - Prob. 53ECh. 16.1 - Prob. 54ECh. 16.1 - Prob. 55ECh. 16.1 - Prob. 56ECh. 16.1 - Prob. 57ECh. 16.1 - Prob. 58ECh. 16.1 - Prob. 59ECh. 16.1 - Prob. 60ECh. 16.1 - Prob. 61ECh. 16.1 - Music Musical sounds exhibit the same kind of...Ch. 16.1 - Prob. 63ECh. 16.1 - Prob. 64ECh. 16.1 - Prob. 65ECh. 16.1 - Prob. 66ECh. 16.1 - Prob. 67ECh. 16.1 - Prob. 68ECh. 16.2 - Prob. 1ECh. 16.2 - Prob. 2ECh. 16.2 - Prob. 3ECh. 16.2 - Prob. 4ECh. 16.2 - Prob. 5ECh. 16.2 - Prob. 6ECh. 16.2 - Prob. 7ECh. 16.2 - Prob. 8ECh. 16.2 - Prob. 9ECh. 16.2 - Prob. 10ECh. 16.2 - Prob. 11ECh. 16.2 - Prob. 12ECh. 16.2 - Prob. 13ECh. 16.2 - Prob. 14ECh. 16.2 - Prob. 15ECh. 16.2 - Prob. 16ECh. 16.2 - Prob. 17ECh. 16.2 - Prob. 18ECh. 16.2 - Prob. 19ECh. 16.2 - Prob. 20ECh. 16.2 - Prob. 21ECh. 16.2 - Prob. 22ECh. 16.2 - Prob. 23ECh. 16.2 - Prob. 24ECh. 16.2 - Prob. 25ECh. 16.2 - Prob. 26ECh. 16.2 - Prob. 27ECh. 16.2 - Prob. 28ECh. 16.2 - Prob. 29ECh. 16.2 - Prob. 30ECh. 16.2 - Prob. 31ECh. 16.2 - Prob. 32ECh. 16.2 - Prob. 33ECh. 16.2 - Prob. 34ECh. 16.2 - Prob. 35ECh. 16.2 - Prob. 36ECh. 16.2 - Prob. 37ECh. 16.2 - Prob. 38ECh. 16.2 - Prob. 39ECh. 16.2 - Prob. 40ECh. 16.2 - Prob. 41ECh. 16.2 - Prob. 42ECh. 16.2 - Prob. 43ECh. 16.2 - Prob. 44ECh. 16.2 - Prob. 45ECh. 16.2 - Prob. 46ECh. 16.2 - Prob. 47ECh. 16.2 - Prob. 48ECh. 16.2 - Prob. 49ECh. 16.2 - Prob. 50ECh. 16.2 - Prob. 51ECh. 16.2 - Prob. 52ECh. 16.2 - Prob. 53ECh. 16.2 - Prob. 54ECh. 16.2 - Prob. 55ECh. 16.2 - Prob. 56ECh. 16.2 - Prob. 57ECh. 16.2 - Prob. 58ECh. 16.2 - Prob. 59ECh. 16.2 - Solar Emissions The following model gives the flux...Ch. 16.2 - Prob. 61ECh. 16.2 - Prob. 62ECh. 16.2 - Tides The depth of water at my favorite surfing...Ch. 16.2 - Prob. 64ECh. 16.2 - Prob. 65ECh. 16.2 - Prob. 66ECh. 16.2 - Prob. 67ECh. 16.2 - Prob. 68ECh. 16.2 - Prob. 69ECh. 16.2 - Prob. 70ECh. 16.2 - Prob. 71ECh. 16.2 - Prob. 72ECh. 16.2 - Prob. 73ECh. 16.2 - Prob. 74ECh. 16.2 - Prob. 75ECh. 16.2 - Prob. 76ECh. 16.2 - Prob. 77ECh. 16.2 - Prob. 78ECh. 16.2 - Prob. 79ECh. 16.2 - Prob. 80ECh. 16.2 - Prob. 81ECh. 16.2 - Prob. 82ECh. 16.2 - Prob. 83ECh. 16.2 - Prob. 84ECh. 16.3 - Prob. 1ECh. 16.3 - Prob. 2ECh. 16.3 - Prob. 3ECh. 16.3 - Prob. 4ECh. 16.3 - Prob. 5ECh. 16.3 - Prob. 6ECh. 16.3 - Prob. 7ECh. 16.3 - Prob. 8ECh. 16.3 - Prob. 9ECh. 16.3 - Prob. 10ECh. 16.3 - Prob. 11ECh. 16.3 - Prob. 12ECh. 16.3 - Prob. 13ECh. 16.3 - Prob. 14ECh. 16.3 - Prob. 15ECh. 16.3 - Prob. 16ECh. 16.3 - Prob. 17ECh. 16.3 - Prob. 18ECh. 16.3 - Prob. 19ECh. 16.3 - In Exercises 1-28, evaluate the given integral....Ch. 16.3 - Prob. 21ECh. 16.3 - Prob. 22ECh. 16.3 - Prob. 23ECh. 16.3 - Prob. 24ECh. 16.3 - Prob. 25ECh. 16.3 - Prob. 26ECh. 16.3 - Prob. 27ECh. 16.3 - Prob. 28ECh. 16.3 - Prob. 29ECh. 16.3 - Prob. 30ECh. 16.3 - Prob. 31ECh. 16.3 - Prob. 32ECh. 16.3 - Prob. 33ECh. 16.3 - Prob. 34ECh. 16.3 - Prob. 35ECh. 16.3 - Prob. 36ECh. 16.3 - Prob. 37ECh. 16.3 - Prob. 38ECh. 16.3 - Prob. 39ECh. 16.3 - Prob. 40ECh. 16.3 - Prob. 41ECh. 16.3 - Prob. 42ECh. 16.3 - Prob. 43ECh. 16.3 - Prob. 44ECh. 16.3 - Prob. 45ECh. 16.3 - Prob. 46ECh. 16.3 - Prob. 47ECh. 16.3 - Prob. 48ECh. 16.3 - Prob. 49ECh. 16.3 - Prob. 50ECh. 16.3 - Prob. 51ECh. 16.3 - Prob. 52ECh. 16.3 - Prob. 53ECh. 16.3 - Prob. 54ECh. 16.3 - Prob. 55ECh. 16.3 - Prob. 56ECh. 16.3 - Prob. 57ECh. 16.3 - Prob. 58ECh. 16.3 - Prob. 59ECh. 16.3 - Varying Cost The cost of producing a box of...Ch. 16.3 - Prob. 61ECh. 16.3 - Prob. 62ECh. 16.3 - Prob. 63ECh. 16.3 - Prob. 64ECh. 16.3 - Biology Sigatoka leaf spot is a plant disease that...Ch. 16.3 - Prob. 66ECh. 16.3 - Prob. 67ECh. 16.3 - Tides The depth of water at my favorite surfing...Ch. 16.3 - Prob. 69ECh. 16.3 - Prob. 70ECh. 16.3 - Prob. 71ECh. 16.3 - How are the derivative and antiderivative of sinx...Ch. 16.3 - Prob. 73ECh. 16.3 - Prob. 74ECh. 16.3 - Prob. 75ECh. 16.3 - Prob. 76ECh. 16 - Prob. 1RECh. 16 - Prob. 2RECh. 16 - Prob. 3RECh. 16 - Prob. 4RECh. 16 - Prob. 5RECh. 16 - Prob. 6RECh. 16 - Prob. 7RECh. 16 - Prob. 8RECh. 16 - Prob. 9RECh. 16 - Prob. 10RECh. 16 - Prob. 11RECh. 16 - Prob. 12RECh. 16 - Prob. 13RECh. 16 - Prob. 14RECh. 16 - Prob. 15RECh. 16 - Prob. 16RECh. 16 - Prob. 17RECh. 16 - Prob. 18RECh. 16 - Prob. 19RECh. 16 - Prob. 20RECh. 16 - Prob. 21RECh. 16 - Prob. 22RECh. 16 - Prob. 23RECh. 16 - Prob. 24RECh. 16 - Prob. 25RECh. 16 - Prob. 26RECh. 16 - Prob. 27RECh. 16 - Prob. 28RECh. 16 - Prob. 29RECh. 16 - Prob. 30RECh. 16 - Prob. 31RECh. 16 - Prob. 32RECh. 16 - Prob. 1CSCh. 16 - Prob. 2CSCh. 16 - Prob. 3CSCh. 16 - Use regression on the original date to obtain a...
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- Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) = x 2 t3 + 6 dt 1arrow_forwardSolve for the derivative of the given functions using the Chain Ruleformula. Suppose f(x) = (sin(2x) + 1)7 .Find f′ (π/2) and f′(π). a.) What is the inner and the outer functions?b.) What is the derivative of the inner function?c.) What is the derivative of the outer function evaluated at the inner function?arrow_forwardSolve for the derivative of the given functions using the Chain Ruleformula. Let f(x) = √(x2 + 3x + 1). Find f′(x). a.) What is the inner and the outer functions?b.) What is the derivative of the inner function?c.) What is the derivative of the outer function evaluated at the inner function?arrow_forward
- 2. Use part 1 of the Fundamental Theorem of Calculus to find the derivative of the following functions.arrow_forwardTwo equivalent forms of the Chain Rule for calculating the derivative of y = ƒ(g(x)) are presented in this section. State both forms.arrow_forwardIn Exercises , find the derivative of y with respect to the appropriate variable.13. y = 6 sinh x/3 14. y = 1/2 sinh (2x + 1)arrow_forward
- 5. Why does it make graphical sense that the derivative of aconstant is zero? That the derivative of the identity function is constantly equal to 1? That the derivative of a linearfunction f(x) = mx + b is equal to m?arrow_forwardSuppose the derivative of f exists, and assume that f(2) = 1, and f'(2) = 2. Let g(x) = x2f(x), and h(x) = f(x) / x-1. a.) g'(2) = ? Find the equation of the tangent line to g(x) at x = 2. y = ? b.) h'(2) = Find the equation of the tangent line to h(x) at x = 2. y = ?arrow_forward(A) Find an equation of the tangent line to the graph of f(x)=(4x+1)sin(πx) at the point whose x-coordinate is 1/2.(B) Using logarithmic differentiation, find the derivative off(x)=(e^(-3x) √(2x-5))/(6-5x)^4 .arrow_forward
- EXERCISE 2: Obtain the derivative of the following functions by applying the corresponding formula, then evaluate at -1arrow_forwardSolve for the derivative of the given functions using the Chain Ruleformula. a.) Let f(x) = √(x2 + 3x + 1). Find f′(x). b.) . Let g(x) = sin (cos x). What is g′(x)? c.) Suppose f(x) = (sin(2x) + 1)7 .Find f′ (π/2) and f′(π).arrow_forwardIn finding the root with Newton's Method, an initial guess Xo = 4 with f(Xo)= 1 leads to X1 = 3. What is the derivative of at Xo? Is it 0, 6, 1, -1 or none of the choices?arrow_forward
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Chain Rule dy:dx = dy:du*du:dx; Author: Robert Cappetta;https://www.youtube.com/watch?v=IUYniALwbHs;License: Standard YouTube License, CC-BY
CHAIN RULE Part 1; Author: Btech Maths Hub;https://www.youtube.com/watch?v=TIAw6AJ_5Po;License: Standard YouTube License, CC-BY