 3.1.1: Use definition (1) (p. 127) for the slope of a tangent line to expl...
 3.1.2: Explain why the slope of a secant line can be interpreted as an ave...
 3.1.3: Explain why the slope of the tangent line can be interpreted as an ...
 3.1.4: For a given function f, what does f _ represent?
 3.1.5: Given a function f and a point a in its domain, what does f _1a2 re...
 3.1.6: Explain the relationships among the slope of a tangent line, the in...
 3.1.7: Why is the notation dy dx used to represent the derivative?
 3.1.8: Give three different notations for the derivative of f with respect...
 3.1.9: 914. Equations of tangent lines by definition (1) a. Use definition...
 3.1.10: 914. Equations of tangent lines by definition (1) a. Use definition...
 3.1.11: 914. Equations of tangent lines by definition (1) a. Use definition...
 3.1.12: 914. Equations of tangent lines by definition (1) a. Use definition...
 3.1.13: 914. Equations of tangent lines by definition (1) a. Use definition...
 3.1.14: 914. Equations of tangent lines by definition (1) a. Use definition...
 3.1.15: 1526. Equations of tangent lines by definition (2) a. Use definitio...
 3.1.16: 1526. Equations of tangent lines by definition (2) a. Use definitio...
 3.1.17: 1526. Equations of tangent lines by definition (2) a. Use definitio...
 3.1.18: 1526. Equations of tangent lines by definition (2) a. Use definitio...
 3.1.19: 1526. Equations of tangent lines by definition (2) a. Use definitio...
 3.1.20: 1526. Equations of tangent lines by definition (2) a. Use definitio...
 3.1.21: 1526. Equations of tangent lines by definition (2) a. Use definitio...
 3.1.22: 1526. Equations of tangent lines by definition (2) a. Use definitio...
 3.1.23: 1526. Equations of tangent lines by definition (2) a. Use definitio...
 3.1.24: 1526. Equations of tangent lines by definition (2) a. Use definitio...
 3.1.25: 1526. Equations of tangent lines by definition (2) a. Use definitio...
 3.1.26: 1526. Equations of tangent lines by definition (2) a. Use definitio...
 3.1.27: 2736. Derivatives and tangent lines a. For the following functions ...
 3.1.28: 2736. Derivatives and tangent lines a. For the following functions ...
 3.1.29: 2736. Derivatives and tangent lines a. For the following functions ...
 3.1.30: 2736. Derivatives and tangent lines a. For the following functions ...
 3.1.31: 2736. Derivatives and tangent lines a. For the following functions ...
 3.1.32: 2736. Derivatives and tangent lines a. For the following functions ...
 3.1.33: 2736. Derivatives and tangent lines a. For the following functions ...
 3.1.34: 2736. Derivatives and tangent lines a. For the following functions ...
 3.1.35: 2736. Derivatives and tangent lines a. For the following functions ...
 3.1.36: 2736. Derivatives and tangent lines a. For the following functions ...
 3.1.37: 3740. Lines tangent to parabolas a. Find the derivative function f ...
 3.1.38: 3740. Lines tangent to parabolas a. Find the derivative function f ...
 3.1.39: 3740. Lines tangent to parabolas a. Find the derivative function f ...
 3.1.40: 3740. Lines tangent to parabolas a. Find the derivative function f ...
 3.1.41: A derivative formula a. Use the definition of the derivative to det...
 3.1.42: A derivative formula a. Use the definition of the derivative to det...
 3.1.43: 4346. Derivative calculations Evaluate the derivative of the follow...
 3.1.44: 4346. Derivative calculations Evaluate the derivative of the follow...
 3.1.45: 4346. Derivative calculations Evaluate the derivative of the follow...
 3.1.46: 4346. Derivative calculations Evaluate the derivative of the follow...
 3.1.47: Explain why or why not Determine whether the following statements a...
 3.1.48: Slope of a line Consider the line f 1x2 = mx + b, where m and b are...
 3.1.49: 4952. Calculating derivatives a. For the following functions, find ...
 3.1.50: 4952. Calculating derivatives a. For the following functions, find ...
 3.1.51: 4952. Calculating derivatives a. For the following functions, find ...
 3.1.52: 4952. Calculating derivatives a. For the following functions, find ...
 3.1.53: 5354. Analyzing slopes Use the points A, B, C, D, and E in the foll...
 3.1.54: 5354. Analyzing slopes Use the points A, B, C, D, and E in the foll...
 3.1.55: Power and energy Energy is the capacity to do work, and power is th...
 3.1.56: Population of Las Vegas Let p1t2 represent the population of the La...
 3.1.57: 5760. Find the function The following limits represent the slope of...
 3.1.58: 5760. Find the function The following limits represent the slope of...
 3.1.59: 5760. Find the function The following limits represent the slope of...
 3.1.60: 5760. Find the function The following limits represent the slope of...
 3.1.61: Is it differentiable? Is f 1x2 = x2  5x + 6 x  2 differentiable a...
 3.1.62: Looking ahead: Derivative of xn Use the definition f _1x2 = lim hS0...
 3.1.63: Determining the unknown constant Let f 1x2 = b 2x2 if x 1 ax  2 if...
 3.1.64: Let f 1x2 = 1x. a. Find the exact value of f _142. b. Show that f _...
 3.1.65: Another way to approximate derivatives is to use the centered diffe...
 3.1.66: The following table gives the distance f 1t2 fallen by a smoke jump...
 3.1.67: The error function (denoted erf 1x2) is an important function in st...
Solutions for Chapter 3.1: Calculus: Early Transcendentals 2nd Edition
Full solutions for Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321947345
Solutions for Chapter 3.1
Get Full SolutionsSince 67 problems in chapter 3.1 have been answered, more than 54570 students have viewed full stepbystep solutions from this chapter. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321947345. Chapter 3.1 includes 67 full stepbystep solutions. 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: 2.

Closed interval
An interval that includes its endpoints

Deductive reasoning
The process of utilizing general information to prove a specific hypothesis

Double inequality
A statement that describes a bounded interval, such as 3 ? x < 5

Exponential function
A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

Graph of an inequality in x and y
The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

Imaginary part of a complex number
See Complex number.

Invertible linear system
A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

kth term of a sequence
The kth expression in the sequence

Linear programming problem
A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

Natural logarithm
A logarithm with base e.

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

Pole
See Polar coordinate system.

Real zeros
Zeros of a function that are real numbers.

Reciprocal of a real number
See Multiplicative inverse of a real number.

Reflection across the xaxis
x, y and (x,y) are reflections of each other across the xaxis.

Resolving a vector
Finding the horizontal and vertical components of a vector.

Secant line of ƒ
A line joining two points of the graph of ƒ.

Seconddegree equation in two variables
Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

Shrink of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal shrink) by the constant 1/c or all of the ycoordinates (vertical shrink) by the constant c, 0 < c < 1.

Ymin
The yvalue of the bottom of the viewing window.