 3.1.33E: A derivative formula d 2 a. Use the definition of the derivative to...
 3.1.34E: A derivative formula a?. Use the definition of the derivative to de...
 3.1.35RE: Derivative calculations? ?Evaluate the derivative of the following ...
 3.1.36E: Derivative calculations? ?Evaluate the derivative of the following ...
 3.1.37E: Derivative calculations? ?Evaluate the derivative of the following ...
 3.1.38E: Derivative calculations? ?Evaluate the derivative of the following ...
 3.1.39E: Derivatives from graphs? ?Use the graph of f to sketch a grap ? h o...
 3.1.40E: Derivatives from graphs? ?Use the graph of f to sketch a grap ? h o...
 3.1.41E: Matching functions with derivatives? Match the functions (a)–(d) in...
 3.1.42E: Sketching derivatives? ?Reproduce the graph of f and then sketch a ...
 3.1.43E: Sketching derivatives? ?Reproduce the graph of f and then sketch a ...
 3.1.44E: Sketching derivatives? ?Reproduce the graph of f and then sketch a ...
 3.1.47E: Explain why or why not? Determine whether the following statements ...
 3.1.48E: Slope of a line? Consider th?e ?line f? (?x? ) =??mx + ?b, w?he? an...
 3.1.49E: Calculating derivatives f(x+h)?f(x) ? a. ? or the following functio...
 3.1.50E: Calculating derivatives f(x+h)?f(x) a.?? or the following functions...
 3.1.51E: Calculating derivatives ? a. ? or the following functions, find f u...
 3.1.52E: Calculating derivatives a.?? or the following functions, find f usi...
 3.1.53E: Analyzing slopes? ?Use the po? int?s A ? ,? ?,? , ? , ?and E in the...
 3.1.54E: Analyzing slopes? ?Use the points A?, ?B?, ?C?, ?D?, ?and E in the ...
 3.1.55E: Finding ?f? from ?f??? Sketch the graph of ?f?(?x?) = ?x? (the deri...
 3.1.56E: Finding ?f? from ?f??? Create the graph of a continuous function ?y...
 3.1.57E: Power and energy? Energy is the capacity to do work and power is th...
 3.1.59E: Onesided derivatives? ?The lefthand and righthand derivatives of...
 3.1.60AE: Onesided derivatives? ?The lefthand and righthand derivatives of...
 3.1.61AE: Vertical tangent lines? If a function f is continuous at a and limx...
 3.1.62AE: Vertical tangent lines? If a function f is continuous at a and lim...
 3.1.63AE: Vertical tangent lines? ?If a function f is continuous at?a and , ?...
 3.1.64AE: Vertical tangent lines? If a function f is continuous at a and , th...
 3.1.65AE: Find the function? The following limits represent the slope of a cu...
 3.1.66AE: Find the function? The following limits represent the slope of a cu...
 3.1.67AE: Find the function? The following limits represent the slope of a cu...
 3.1.68AE: Find the function? The following limits represent the slope of a cu...
 3.1.69AE: x ?5x+6 Is it differentiable?? Is f(x) = x?2 differentiable at x = ...
 3.1.70AE: Derivative of x?? Use the symbolic capabilities of a calculator to ...
 3.1.71AE: Determining the unknown constant? Let Determine a v ? alue of? (if ...
 3.1.72AE: Graph of the derivative of the sine curve a.? Use the gr? aph of??y...
Solutions for Chapter 3.1: Calculus: Early Transcendentals 1st Edition
Full solutions for Calculus: Early Transcendentals  1st Edition
ISBN: 9780321570567
Solutions for Chapter 3.1
Get Full SolutionsSince 37 problems in chapter 3.1 have been answered, more than 83369 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: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Chapter 3.1 includes 37 full stepbystep solutions.

Ambiguous case
The case in which two sides and a nonincluded angle can determine two different triangles

Associative properties
a + (b + c) = (a + b) + c, a(bc) = (ab)c.

Basic logistic function
The function ƒ(x) = 1 / 1 + ex

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

Component form of a vector
If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x, y, and zcomponents of the vector, respectively)

Focal length of a parabola
The directed distance from the vertex to the focus.

Grapher or graphing utility
Graphing calculator or a computer with graphing software.

Imaginary part of a complex number
See Complex number.

Increasing on an interval
A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

Intercepted arc
Arc of a circle between the initial side and terminal side of a central angle.

Limit at infinity
limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x: q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

Line of travel
The path along which an object travels

Linear inequality in x
An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

Mathematical induction
A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

Normal distribution
A distribution of data shaped like the normal curve.

nth root of unity
A complex number v such that vn = 1

Parameter
See Parametric equations.

Quadratic equation in x
An equation that can be written in the form ax 2 + bx + c = 01a ? 02

Row echelon form
A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

Sum of complex numbers
(a + bi) + (c + di) = (a + c) + (b + d)i