 2.6.1: A curve has equation . (a) Write an expression for the slope of the...
 2.6.2: Graph the curve in the viewing rectangles by , by , and by . What d...
 2.6.3: (a) Find the slope of the tangent line to the parabola at the point...
 2.6.4: (a) Find the slope of the tangent line to the curve at the point (i...
 2.6.5: Find an equation of the tangent line to the curve at the given point.
 2.6.6: Find an equation of the tangent line to the curve at the given point.
 2.6.7: Find an equation of the tangent line to the curve at the given point.
 2.6.8: Find an equation of the tangent line to the curve at the given point.
 2.6.9: (a) Find the slope of the tangent to the curve at the point where ....
 2.6.10: (a) Find the slope of the tangent to the curve at the point where ....
 2.6.11: (a) A particle starts by moving to the right along a horizontal lin...
 2.6.12: Shown are graphs of the position functions of two runners, and , wh...
 2.6.13: If a ball is thrown into the air with a velocity of 40 fts, its hei...
 2.6.14: If a rock is thrown upward on the planet Mars with a velocity of , ...
 2.6.15: The displacement (in meters) of a particle moving in a straight lin...
 2.6.16: The displacement (in meters) of a particle moving in a straight lin...
 2.6.17: For the function t whose graph is given, arrange the following numb...
 2.6.18: Find an equation of the tangent line to the graph of at if and .
 2.6.19: If an equation of the tangent line to the curve at the point where ...
 2.6.20: If the tangent line to at (4, 3) passes through the point (0, 2), n...
 2.6.21: Sketch the graph of a function for which , , and .
 2.6.22: Sketch the graph of a function for which , , , , , and .
 2.6.23: If , nd and use it to nd an equation of the tangent line to the cur...
 2.6.24: If , nd and use it to nd an equation of the tangent line to the cur...
 2.6.25: (a) If , nd and use it to nd an equation of the tangent line to the...
 2.6.26: (a) If , nd and use it to nd equations of the tangent lines to the ...
 2.6.27: Find .
 2.6.28: Find . ft 2t3
 2.6.29: Find .
 2.6.30: Find .x x
 2.6.31: Find .
 2.6.32: Find . fx 4 s1 x
 2.6.33: Each limit represents the derivative of some function at some numbe...
 2.6.34: Each limit represents the derivative of some function at some numbe...
 2.6.35: Each limit represents the derivative of some function at some numbe...
 2.6.36: Each limit represents the derivative of some function at some numbe...
 2.6.37: Each limit represents the derivative of some function at some numbe...
 2.6.38: Each limit represents the derivative of some function at some numbe...
 2.6.39: A particle moves along a straight line with equation of motion , wh...
 2.6.40: A particle moves along a straight line with equation of motion , wh...
 2.6.41: A warm can of soda is placed in a cold refrigerator. Sketch the gra...
 2.6.42: A roast turkey is taken from an oven when its temperature has reach...
 2.6.43: The number of US cellular phone subscribers (in millions) is shown ...
 2.6.44: The number of locations of a popular coffeehouse chain is given in ...
 2.6.45: The cost (in dollars) of producing units of a certain commodity is ...
 2.6.46: If a cylindrical tank holds 100,000 gallons of water, which can be ...
 2.6.47: The cost of producing x ounces of gold from a new gold mine is doll...
 2.6.48: The number of bacteria after t hours in a controlled laboratory exp...
 2.6.49: Let be the temperature (in ) in Baltimore hours after midnight on S...
 2.6.50: The quantity (in pounds) of a gourmet ground coffee that is sold by...
 2.6.51: The quantity of oxygen that can dissolve in water depends on the te...
 2.6.52: The graph shows the inuence of the temperature on the maximum susta...
 2.6.53: Determine whether exists.fx x sin 1 x if x 00 if
 2.6.54: Determine whether exists. fx x2 sin 1 x if x 00 if x 0
Solutions for Chapter 2.6: DERIVATIVES AND RATES OF CHANGE
Full solutions for Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series)  4th Edition
ISBN: 9780495559726
Solutions for Chapter 2.6: DERIVATIVES AND RATES OF CHANGE
Get Full SolutionsSince 54 problems in chapter 2.6: DERIVATIVES AND RATES OF CHANGE have been answered, more than 20716 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series), edition: 4. Chapter 2.6: DERIVATIVES AND RATES OF CHANGE includes 54 full stepbystep solutions. Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) was written by and is associated to the ISBN: 9780495559726.

Annuity
A sequence of equal periodic payments.

Bounded above
A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

Difference of functions
(ƒ  g)(x) = ƒ(x)  g(x)

Distance (on a number line)
The distance between real numbers a and b, or a  b

Division
a b = aa 1 b b, b Z 0

Explanatory variable
A variable that affects a response variable.

Fibonacci numbers
The terms of the Fibonacci sequence.

Geometric series
A series whose terms form a geometric sequence.

Implied domain
The domain of a function’s algebraic expression.

Integers
The numbers . . ., 3, 2, 1, 0,1,2,...2

Inverse of a matrix
The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

Measure of spread
A measure that tells how widely distributed data are.

Onetoone function
A function in which each element of the range corresponds to exactly one element in the domain

Ordinary annuity
An annuity in which deposits are made at the same time interest is posted.

Outliers
Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

Randomization
The principle of experimental design that makes it possible to use the laws of probability when making inferences.

Riemann sum
A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

Sinusoid
A function that can be written in the form f(x) = a sin (b (x  h)) + k or f(x) = a cos (b(x  h)) + k. The number a is the amplitude, and the number h is the phase shift.

Trigonometric form of a complex number
r(cos ? + i sin ?)

Vertical asymptote
The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a ƒ1x2 = q.