Applied Calculus
7th Edition
ISBN: 9781337291248
Author: Waner, Stefan.
Publisher: Cengage Learning,
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Chapter 9.2, Problem 1E
To determine
To calculate: The derivative of the function
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in exercises 1-66 find the derivative of the following function g(x)=ln|2x^2 + 1|
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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
1
Chapter 9 Solutions
Applied Calculus
Ch. 9.1 - Prob. 1ECh. 9.1 - Prob. 2ECh. 9.1 - Prob. 3ECh. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - Prob. 8ECh. 9.1 - Prob. 9ECh. 9.1 - Prob. 10E
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In a...Ch. 9.2 - Simple Harmonic Motion and Damped Harmonic Motion...Ch. 9.2 - Prob. 68ECh. 9.2 - Prob. 69ECh. 9.2 - Prob. 70ECh. 9.2 - Prob. 71ECh. 9.2 - Prob. 72ECh. 9.2 - Prob. 73ECh. 9.2 - Prob. 74ECh. 9.2 - Prob. 75ECh. 9.2 - Prob. 76ECh. 9.2 - Prob. 77ECh. 9.2 - Prob. 78ECh. 9.2 - Prob. 79ECh. 9.2 - Prob. 80ECh. 9.2 - If the value of a stock price is given by...Ch. 9.2 - Prob. 82ECh. 9.2 - Prob. 83ECh. 9.2 - Prob. 84ECh. 9.3 - Prob. 1ECh. 9.3 - Prob. 2ECh. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 - Prob. 10ECh. 9.3 - Prob. 11ECh. 9.3 - Prob. 12ECh. 9.3 - Prob. 13ECh. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - Prob. 16ECh. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - Prob. 20ECh. 9.3 - Prob. 21ECh. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - Prob. 24ECh. 9.3 - Prob. 25ECh. 9.3 - Prob. 26ECh. 9.3 - Prob. 27ECh. 9.3 - Prob. 28ECh. 9.3 - Prob. 29ECh. 9.3 - Prob. 30ECh. 9.3 - Prob. 31ECh. 9.3 - Prob. 32ECh. 9.3 - Prob. 33ECh. 9.3 - Prob. 34ECh. 9.3 - Prob. 35ECh. 9.3 - Prob. 36ECh. 9.3 - Prob. 37ECh. 9.3 - Prob. 38ECh. 9.3 - Prob. 39ECh. 9.3 - Prob. 40ECh. 9.3 - Prob. 41ECh. 9.3 - Prob. 42ECh. 9.3 - Prob. 43ECh. 9.3 - Prob. 44ECh. 9.3 - Prob. 45ECh. 9.3 - Prob. 46ECh. 9.3 - Prob. 47ECh. 9.3 - Prob. 48ECh. 9.3 - Prob. 49ECh. 9.3 - Prob. 50ECh. 9.3 - Prob. 51ECh. 9.3 - Prob. 52ECh. 9.3 - Prob. 53ECh. 9.3 - Prob. 54ECh. 9.3 - Prob. 55ECh. 9.3 - Prob. 56ECh. 9.3 - Prob. 57ECh. 9.3 - Prob. 58ECh. 9.3 - Prob. 59ECh. 9.3 - Prob. 60ECh. 9.3 - Prob. 61ECh. 9.3 - Prob. 62ECh. 9.3 - Prob. 63ECh. 9.3 - Prob. 64ECh. 9.3 - Prob. 65ECh. 9.3 - Prob. 66ECh. 9.3 - Prob. 67ECh. 9.3 - Tides The depth of water at my favorite surfing...Ch. 9.3 - Prob. 69ECh. 9.3 - Prob. 70ECh. 9.3 - Prob. 71ECh. 9.3 - Prob. 72ECh. 9.3 - Prob. 73ECh. 9.3 - Prob. 74ECh. 9.3 - Prob. 75ECh. 9.3 - Prob. 76ECh. 9 - Prob. 1RECh. 9 - Prob. 2RECh. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Prob. 8RECh. 9 - In Exercises 9-14, find the derivative of the...Ch. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - Prob. 16RECh. 9 - Prob. 17RECh. 9 - Prob. 18RECh. 9 - Prob. 19RECh. 9 - Prob. 20RECh. 9 - Prob. 21RECh. 9 - Prob. 22RECh. 9 - Prob. 23RECh. 9 - Prob. 24RECh. 9 - Prob. 25RECh. 9 - Prob. 26RECh. 9 - Prob. 27RECh. 9 - Prob. 28RECh. 9 - Prob. 29RECh. 9 - Prob. 30RECh. 9 - Prob. 31RECh. 9 - Prob. 32RECh. 9 - Prob. 1CSCh. 9 - Prob. 2CSCh. 9 - Prob. 3CSCh. 9 - Prob. 4CS
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- Find the derivative of the given function from the first principle ax2+bx+carrow_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_forwardUse the Fundamental Theorem of Calculus, Part 1 to find the derivative, g'(x), of the following: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_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_forward1 -) 100 is equal to The derivative of the function esin aarrow_forward
- In Exercises 13–32, findthe derivative of the function. y = (2x − 7)3arrow_forwardFind the derivative of: h(x) = (1/x^2 - 1) / (1/x -1) (1/x -1)^2 –1/x^2 (1/x^2 – 1)^2 (1/x +1)^2 None of the abovearrow_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_forward
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