 2.1.1: In Exercises 14, trace the graph and sketch the tangent lines at and
 2.1.2: In Exercises 14, trace the graph and sketch the tangent lines at and
 2.1.3: In Exercises 14, trace the graph and sketch the tangent lines at and
 2.1.4: In Exercises 14, trace the graph and sketch the tangent lines at and
 2.1.5: In Exercises 510, estimate the slope of the graph at the point (Eac...
 2.1.6: In Exercises 510, estimate the slope of the graph at the point (Eac...
 2.1.7: In Exercises 510, estimate the slope of the graph at the point (Eac...
 2.1.8: In Exercises 510, estimate the slope of the graph at the point (Eac...
 2.1.9: In Exercises 510, estimate the slope of the graph at the point (Eac...
 2.1.10: In Exercises 510, estimate the slope of the graph at the point (Eac...
 2.1.11: Revenue The graph represents the revenue (in millions of dollars pe...
 2.1.12: Sales The graph represents the sales (in millions of dollars per ye...
 2.1.13: Consumer Trends The graph shows the number of visitors to a nationa...
 2.1.14: Athletics Two long distance runners starting out side by side begin...
 2.1.15: In Exercises 1524, use the limit definition to find the slope of th...
 2.1.16: In Exercises 1524, use the limit definition to find the slope of th...
 2.1.17: In Exercises 1524, use the limit definition to find the slope of th...
 2.1.18: In Exercises 1524, use the limit definition to find the slope of th...
 2.1.19: In Exercises 1524, use the limit definition to find the slope of th...
 2.1.20: In Exercises 1524, use the limit definition to find the slope of th...
 2.1.21: In Exercises 1524, use the limit definition to find the slope of th...
 2.1.22: In Exercises 1524, use the limit definition to find the slope of th...
 2.1.23: In Exercises 1524, use the limit definition to find the slope of th...
 2.1.24: In Exercises 1524, use the limit definition to find the slope of th...
 2.1.25: In Exercises 2538, use the limit definition to find the derivative ...
 2.1.26: In Exercises 2538, use the limit definition to find the derivative ...
 2.1.27: In Exercises 2538, use the limit definition to find the derivative ...
 2.1.28: In Exercises 2538, use the limit definition to find the derivative ...
 2.1.29: In Exercises 2538, use the limit definition to find the derivative ...
 2.1.30: In Exercises 2538, use the limit definition to find the derivative ...
 2.1.31: In Exercises 2538, use the limit definition to find the derivative ...
 2.1.32: In Exercises 2538, use the limit definition to find the derivative ...
 2.1.33: In Exercises 2538, use the limit definition to find the derivative ...
 2.1.34: In Exercises 2538, use the limit definition to find the derivative ...
 2.1.35: In Exercises 2538, use the limit definition to find the derivative ...
 2.1.36: In Exercises 2538, use the limit definition to find the derivative ...
 2.1.37: In Exercises 2538, use the limit definition to find the derivative ...
 2.1.38: In Exercises 2538, use the limit definition to find the derivative ...
 2.1.39: In Exercises 3946, use the limit definition to find an equation of ...
 2.1.40: In Exercises 3946, use the limit definition to find an equation of ...
 2.1.41: In Exercises 3946, use the limit definition to find an equation of ...
 2.1.42: In Exercises 3946, use the limit definition to find an equation of ...
 2.1.43: In Exercises 3946, use the limit definition to find an equation of ...
 2.1.44: In Exercises 3946, use the limit definition to find an equation of ...
 2.1.45: In Exercises 3946, use the limit definition to find an equation of ...
 2.1.46: In Exercises 3946, use the limit definition to find an equation of ...
 2.1.47: In Exercises 4750, find an equation of the line that is tangent to ...
 2.1.48: In Exercises 4750, find an equation of the line that is tangent to ...
 2.1.49: In Exercises 4750, find an equation of the line that is tangent to ...
 2.1.50: In Exercises 4750, find an equation of the line that is tangent to ...
 2.1.51: In Exercises 5158, describe the values at which the function is di...
 2.1.52: In Exercises 5158, describe the values at which the function is di...
 2.1.53: In Exercises 5158, describe the values at which the function is di...
 2.1.54: In Exercises 5158, describe the values at which the function is di...
 2.1.55: In Exercises 5158, describe the values at which the function is di...
 2.1.56: In Exercises 5158, describe the values at which the function is di...
 2.1.57: In Exercises 5158, describe the values at which the function is di...
 2.1.58: In Exercises 5158, describe the values at which the function is di...
 2.1.59: In Exercises 59 and 60, describe the values at which is differenti...
 2.1.60: In Exercises 59 and 60, describe the values at which is differenti...
 2.1.61: In Exercises 61 and 62, identify a function that has the given char...
 2.1.62: In Exercises 61 and 62, identify a function that has the given char...
 2.1.63: Graphical, Numerical, and Analytic Analysis In Exercises 6366, use ...
 2.1.64: Graphical, Numerical, and Analytic Analysis In Exercises 6366, use ...
 2.1.65: Graphical, Numerical, and Analytic Analysis In Exercises 6366, use ...
 2.1.66: Graphical, Numerical, and Analytic Analysis In Exercises 6366, use ...
 2.1.67: In Exercises 6770, find the derivative of the given function Then u...
 2.1.68: In Exercises 6770, find the derivative of the given function Then u...
 2.1.69: In Exercises 6770, find the derivative of the given function Then u...
 2.1.70: In Exercises 6770, find the derivative of the given function Then u...
 2.1.71: True or False? In Exercises 7174, determine whether the statement i...
 2.1.72: True or False? In Exercises 7174, determine whether the statement i...
 2.1.73: True or False? In Exercises 7174, determine whether the statement i...
 2.1.74: True or False? In Exercises 7174, determine whether the statement i...
 2.1.75: Writing Use a graphing utility to graph the two functions and in th...
Solutions for Chapter 2.1: The Derivative and the Slope of a Graph
Full solutions for Calculus: An Applied Approach  8th Edition
ISBN: 9780618958252
Solutions for Chapter 2.1: The Derivative and the Slope of a Graph
Get Full SolutionsChapter 2.1: The Derivative and the Slope of a Graph includes 75 full stepbystep solutions. Calculus: An Applied Approach was written by and is associated to the ISBN: 9780618958252. This textbook survival guide was created for the textbook: Calculus: An Applied Approach , edition: 8. This expansive textbook survival guide covers the following chapters and their solutions. Since 75 problems in chapter 2.1: The Derivative and the Slope of a Graph have been answered, more than 24029 students have viewed full stepbystep solutions from this chapter.

Conic section (or conic)
A curve obtained by intersecting a doublenapped right circular cone with a plane

Difference identity
An identity involving a trigonometric function of u  v

Direct variation
See Power function.

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

Divisor of a polynomial
See Division algorithm for polynomials.

Domain of validity of an identity
The set of values of the variable for which both sides of the identity are defined

Integrable over [a, b] Lba
ƒ1x2 dx exists.

Inverse variation
See Power function.

Line graph
A graph of data in which consecutive data points are connected by line segments

Linear inequality in two variables x and y
An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

Multiplication property of inequality
If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

Natural logarithmic function
The inverse of the exponential function y = ex, denoted by y = ln x.

Ordered set
A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

Period
See Periodic function.

Product of matrices A and B
The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

Real number
Any number that can be written as a decimal.

Scientific notation
A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

Sum of two vectors
<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

Unit vector in the direction of a vector
A unit vector that has the same direction as the given vector.

Zero matrix
A matrix consisting entirely of zeros.