 3.3.1: In Exercises 110. identify the open intervals on vvhicli the funct...
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 3.3.11: In F^xercises 1132. find the critical mmihers of/ (if anyl. Finf) ...
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 3.3.33: In Exercises 3336, consider the function on the interval ((I. 2n)....
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 3.3.37: In Exercises 3740. (a) use a computer algehra system to ditl'erent...
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 3.3.41: In F^xercises 41 and 42. use symmetry, extrema, and zeros to sketch...
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 3.3.43: I'hiiik About It In E.xercises 43 18, the graph of / is shown in th...
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 3.3.49: In Exercises 4954, assume that/ is differenliable for all .v. The ...
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 3.3.55: Sketch the graph of an arbitrary function /' such that
 3.3.56: A differentiable function/ has one critical number at .v = 5. Ident...
 3.3.57: Think About It The fiuiclion / is differentiable on the interval [...
 3.3.58: Rolling a Ball Bearing A ball bearing is placed on an inclined plan...
 3.3.59: Numerical, Graphical, and Analytic Analysis Consider the functions ...
 3.3.60: Numerical, Graphical, and Analytic Analysis The concentration C of ...
 3.3.61: Trachea Contraction Cotighing forces the trachea (windpipe) to cont...
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 3.3.63: Power The electric power P in watts in a directcuiTcnt circuit wit...
 3.3.64: Electrical Resistance The resistance R of a certain type of resisto...
 3.3.65: Modeling Data The number of bankruptcies (m thousands) for the year...
 3.3.66: U.se a graphing utility to graph /'(.v) = 2 sin 3V + 4 cos 3V. Fi...
 3.3.67: Cieatiii!> Polyn utility to solve the system of equations and deter...
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Solutions for Chapter 3.3: Increasmg and Decreasing Functions and the First Derivative Test
Full solutions for Calculus of A Single Variable  7th Edition
ISBN: 9780618149162
Solutions for Chapter 3.3: Increasmg and Decreasing Functions and the First Derivative Test
Get Full SolutionsChapter 3.3: Increasmg and Decreasing Functions and the First Derivative Test includes 79 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7. Since 79 problems in chapter 3.3: Increasmg and Decreasing Functions and the First Derivative Test have been answered, more than 23505 students have viewed full stepbystep solutions from this chapter. Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162. This expansive textbook survival guide covers the following chapters and their solutions.

Absolute value of a complex number
The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

Binomial coefficients
The numbers in Pascal’s triangle: nCr = anrb = n!r!1n  r2!

Circular functions
Trigonometric functions when applied to real numbers are circular functions

Coefficient matrix
A matrix whose elements are the coefficients in a system of linear equations

Coefficient of determination
The number r2 or R2 that measures how well a regression curve fits the data

Compounded monthly
See Compounded k times per year.

Convenience sample
A sample that sacrifices randomness for convenience

Ellipse
The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

Fivenumber summary
The minimum, first quartile, median, third quartile, and maximum of a data set.

Focal axis
The line through the focus and perpendicular to the directrix of a conic.

Horizontal component
See Component form of a vector.

Leastsquares line
See Linear regression line.

Lower bound of f
Any number b for which b < ƒ(x) for all x in the domain of ƒ

Multiplicative inverse of a real number
The reciprocal of b, or 1/b, b Z 0

Parameter
See Parametric equations.

Periodic function
A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

Polar coordinate system
A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

Standard form of a polynomial function
ƒ(x) = an x n + an1x n1 + Á + a1x + a0

Standard position (angle)
An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive xaxis

Unit vector in the direction of a vector
A unit vector that has the same direction as the given vector.