 3.4.1E: By considering, but not calculating, the slope of the tangent line,...
 3.4.2E: a. Suppose . Use the graph of g(x) to find g?(0).________________b....
 3.4.3E: If , where is f not differentiable?
 3.4.4E: If the rate of change of f(x) is zero when x = a, what can be said ...
 3.4.5E: Estimate the slope of the tangent line to the curve at the given po...
 3.4.6E: Estimate the slope of the tangent line to the curve at the given po...
 3.4.7E: Estimate the slope of the tangent line to the curve at the given po...
 3.4.8E: Estimate the slope of the tangent line to the curve at the given po...
 3.4.9E: Estimate the slope of the tangent line to the curve at the given po...
 3.4.10E: Estimate the slope of the tangent line to the curve at the given po...
 3.4.11E: Using the definition of the derivative, find f?(x). Then find f?(?2...
 3.4.12E: Using the definition of the derivative, find f?(x). Then find f?(?2...
 3.4.13E: Using the definition of the derivative, find f?(x). Then find f?(?2...
 3.4.14E: Using the definition of the derivative, find f?(x). Then find f?(?2...
 3.4.15E: Using the definition of the derivative, find f?(x). Then find f?(?2...
 3.4.16E: Using the definition of the derivative, find f?(x). Then find f?(?2...
 3.4.17E: Using the definition of the derivative, find f?(x). Then find f?(?2...
 3.4.18E: Using the definition of the derivative, find f?(x). Then find f?(?2...
 3.4.19E: Using the definition of the derivative, find f?(x). Then find f?(?2...
 3.4.20E: Using the definition of the derivative, find f?(x). Then find f?(?2...
 3.4.21E: For the function, find (a) the equation of the secant line through ...
 3.4.22E: For the function, find (a) the equation of the secant line through ...
 3.4.23E: For the function, find (a) the equation of the secant line through ...
 3.4.24E: For the function, find (a) the equation of the secant line through ...
 3.4.25E: For the function, find (a) the equation of the secant line through ...
 3.4.26E: For the function, find (a) the equation of the secant line through ...
 3.4.27E: Use a graphing calculator to find f?(2), f?(16), and f?(?3) for the...
 3.4.28E: Use a graphing calculator to find f?(2), f?(16), and f?(?3) for the...
 3.4.29E: Use a graphing calculator to find f?(2), f?(16), and f?(?3) for the...
 3.4.30E: Use a graphing calculator to find f?(2), f?(16), and f?(?3) for the...
 3.4.31E: Use a graphing calculator to find f?(2), f?(16), and f?(?3) for the...
 3.4.32E: Use a graphing calculator to find f?(2), f?(16), and f?(?3) for the...
 3.4.33E: Use a graphing calculator to find f?(2), f?(16), and f?(?3) for the...
 3.4.34E: Use a graphing calculator to find f?(2), f?(16), and f?(?3) for the...
 3.4.35E: Find the xvalues where the following do not have derivatives.
 3.4.36E: Find the xvalues where the following do not have derivatives.
 3.4.37E: Find the xvalues where the following do not have derivatives.
 3.4.38E: Find the xvalues where the following do not have derivatives.
 3.4.39E: For the function shown in the sketch, give the intervals or points ...
 3.4.40E: In Exercise, tell which graph, a or b, represents velocity and whic...
 3.4.41E: In Exercise, tell which graph, a or b, represents velocity and whic...
 3.4.42E: In Exercise, find the derivative of the function at the given point...
 3.4.43E: In Exercise, find the derivative of the function at the given point...
 3.4.44E: In Exercise, find the derivative of the function at the given point...
 3.4.45E: In Exercise, find the derivative of the function at the given point...
 3.4.46E: For each function in Column A, graph [f(x + h) ? f(x)]/h for a smal...
 3.4.47E: Explain why should give a reasonable approximation of f?(x) when f?...
 3.4.48E: a. For the function f(x) = ?4x2 + 11x, find the value of f?(3), as ...
 3.4.49A: Demand Suppose the demand for a certain item is given by D(p) = ?2p...
 3.4.50A: Profit The profit (in thousands of dollars) from the expenditure of...
 3.4.51A: Revenue The revenue in dollars generated from the sale of x picnic ...
 3.4.52A: Cost The cost in dollars of producing x tacos is C(x) = ?0.00375x2 ...
 3.4.53A: Social Security Assets The table gives actual and projected yearen...
 3.4.54A: Flight Speed Many birds, such as cockatiels or the Arctic terns sho...
 3.4.55A: Shellfish Population In one research study, the population of a cer...
 3.4.56A: Eating Behavior The eating behavior of a typical human during a mea...
 3.4.57A: Quality Control of Cheese It is often difficult to evaluate the qua...
 3.4.58A: Temperature The graph shows the temperature in degrees Celsius as a...
 3.4.59A: Oven Temperature The graph in the next column shows the temperature...
 3.4.60A: Baseball The graph shows how the velocity of a baseball that was tr...
 3.4.61A: Baseball The graph shows how the velocity of a baseball that was tr...
Solutions for Chapter 3.4: Calculus with Applications 10th Edition
Full solutions for Calculus with Applications  10th Edition
ISBN: 9780321749000
Solutions for Chapter 3.4
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Chapter 3.4 includes 61 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus with Applications , edition: 10. Since 61 problems in chapter 3.4 have been answered, more than 27602 students have viewed full stepbystep solutions from this chapter. Calculus with Applications was written by and is associated to the ISBN: 9780321749000.

Bounded
A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

Constant
A letter or symbol that stands for a specific number,

Direction vector for a line
A vector in the direction of a line in threedimensional space

Doubleangle identity
An identity involving a trigonometric function of 2u

Equivalent arrows
Arrows that have the same magnitude and direction.

Equivalent vectors
Vectors with the same magnitude and direction.

Future value of an annuity
The net amount of money returned from an annuity.

Inverse properties
a + 1a2 = 0, a # 1a

Leastsquares line
See Linear regression line.

Nautical mile
Length of 1 minute of arc along the Earth’s equator.

Parabola
The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

Period
See Periodic function.

Polynomial interpolation
The process of fitting a polynomial of degree n to (n + 1) points.

Quantitative variable
A variable (in statistics) that takes on numerical values for a characteristic being measured.

Quotient identities
tan ?= sin ?cos ?and cot ?= cos ? sin ?

Richter scale
A logarithmic scale used in measuring the intensity of an earthquake.

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

Symmetric difference quotient of ƒ at a
ƒ(x + h)  ƒ(x  h) 2h

Unit vector
Vector of length 1.

Vector
An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.