 2.6.1: For the graphs in Exercises 12, list the xvalues for whichthe func...
 2.6.2: For the graphs in Exercises 12, list the xvalues for whichthe func...
 2.6.3: In Exercises 34, does the function appear to be differentiableon th...
 2.6.4: In Exercises 34, does the function appear to be differentiableon th...
 2.6.5: Decide if the functions in 57 are differentiable atx = 0. Try zoomi...
 2.6.6: Decide if the functions in 57 are differentiable atx = 0. Try zoomi...
 2.6.7: Decide if the functions in 57 are differentiable atx = 0. Try zoomi...
 2.6.8: In each of the following cases, sketch the graph of a continuousfun...
 2.6.9: Look at the graph of f(x)=(x2 + 0.0001)1/2 shown inFigure 2.59. The...
 2.6.10: The acceleration due to gravity, g, varies with heightabove the sur...
 2.6.11: An electric charge, Q, in a circuit is given as a functionof time, ...
 2.6.12: A magnetic field, B, is given as a function of the distance,r, from...
 2.6.13: A cable is made of an insulating material in the shape ofa long, th...
 2.6.14: Graph the function defined byg(r) = 1 + cos (r/2) for 2 r 20 for r ...
 2.6.15: The potential, , of a charge distribution at a point on theyaxis i...
 2.6.16: Sometimes, odd behavior can be hidden beneath the surfaceof a rathe...
 2.6.17: In 1718, explain what is wrong with the statement.A function f that...
 2.6.18: In 1718, explain what is wrong with the statement.If f is not diffe...
 2.6.19: In 1921, give an example of:A continuous function that is not diffe...
 2.6.20: In 1921, give an example of:An invertible function that is not diff...
 2.6.21: In 1921, give an example of:A rational function that has zeros at x...
 2.6.22: Are the statements in 2226 true or false? If a statementis true, gi...
 2.6.23: Are the statements in 2226 true or false? If a statementis true, gi...
 2.6.24: Are the statements in 2226 true or false? If a statementis true, gi...
 2.6.25: Are the statements in 2226 true or false? If a statementis true, gi...
 2.6.26: Are the statements in 2226 true or false? If a statementis true, gi...
 2.6.27: Which of the following would be a counterexample tothe statement: I...
Solutions for Chapter 2.6: DIFFERENTIABILITY
Full solutions for Calculus: Single and Multivariable  6th Edition
ISBN: 9780470888612
Solutions for Chapter 2.6: DIFFERENTIABILITY
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. Chapter 2.6: DIFFERENTIABILITY includes 27 full stepbystep solutions. Since 27 problems in chapter 2.6: DIFFERENTIABILITY have been answered, more than 42404 students have viewed full stepbystep solutions from this chapter.

Absolute minimum
A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

Addition property of equality
If u = v and w = z , then u + w = v + z

Axis of symmetry
See Line of symmetry.

Backtoback stemplot
A stemplot with leaves on either side used to compare two distributions.

Bounded interval
An interval that has finite length (does not extend to ? or ?)

Census
An observational study that gathers data from an entire population

Combinations of n objects taken r at a time
There are nCr = n! r!1n  r2! such combinations,

Convenience sample
A sample that sacrifices randomness for convenience

Degree of a polynomial (function)
The largest exponent on the variable in any of the terms of the polynomial (function)

Finite series
Sum of a finite number of terms.

Imaginary part of a complex number
See Complex number.

Instantaneous velocity
The instantaneous rate of change of a position function with respect to time, p. 737.

Mathematical model
A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

Nonsingular matrix
A square matrix with nonzero determinant

Pie chart
See Circle graph.

Probability function
A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

Rational zeros theorem
A procedure for finding the possible rational zeros of a polynomial.

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

Xmin
The xvalue of the left side of the viewing window,.

ycoordinate
The directed distance from the xaxis xzplane to a point in a plane (space), or the second number in an ordered pair (triple), pp. 12, 629.