 2.2.1: For 16, graph the derivative of the given functions
 2.2.2: For 16, graph the derivative of the given functions
 2.2.3: For 16, graph the derivative of the given functions
 2.2.4: For 16, graph the derivative of the given functions
 2.2.5: For 16, graph the derivative of the given functions
 2.2.6: For 16, graph the derivative of the given functions
 2.2.7: The graph of f(x) is given in Figure 2.22. Draw tangent lines to th...
 2.2.8: The graph of f(x) is given in Figure 2.23. Estimate f(1), f(2), f(3...
 2.2.9: In the graph of f in Figure 2.24, at which of the labeled xvalues ...
 2.2.10: Find approximate values for f(x) at each of the xvalues given in t...
 2.2.11: Using slopes to left and right of 0, estimate R(0) if R(x) = 100(1....
 2.2.12: For 1217, sketch the graph of f(x).
 2.2.13: For 1217, sketch the graph of f(x).
 2.2.14: For 1217, sketch the graph of f(x).
 2.2.15: For 1217, sketch the graph of f(x).
 2.2.16: For 1217, sketch the graph of f(x).
 2.2.17: For 1217, sketch the graph of f(x).
 2.2.18: Match the functions in 1821 with one of the derivatives in Figure 2...
 2.2.19: Match the functions in 1821 with one of the derivatives in Figure 2...
 2.2.20: Match the functions in 1821 with one of the derivatives in Figure 2...
 2.2.21: Match the functions in 1821 with one of the derivatives in Figure 2...
 2.2.22: A city grew in population throughout the 1980s and into the early 1...
 2.2.23: Values of x and g(x) are given in the table. For what value of x do...
 2.2.24: Draw a possible graph of y = f(x) given the following information a...
 2.2.25: Draw a possible graph of a continuous function y = f(x) that satisf...
 2.2.26: A vehiclemoving along a straight road has distance f(t) from its st...
 2.2.27: (a) Let f(x) = lnx. Use small intervals to estimate f(1), f(2), f(3...
 2.2.28: Suppose f(x) = 1 3x3. Estimate f(2), f(3), and f(4). What do you no...
 2.2.29: Match each property (a)(d) with one or more of graphs (I)(IV) of fu...
 2.2.30: A child inflates a balloon, admires it for awhile and then lets the...
Solutions for Chapter 2.2: THE DERIVATIVE FUNCTION
Full solutions for Applied Calculus  5th Edition
ISBN: 9781118174920
Solutions for Chapter 2.2: THE DERIVATIVE FUNCTION
Get Full SolutionsSince 30 problems in chapter 2.2: THE DERIVATIVE FUNCTION have been answered, more than 33427 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. Applied Calculus was written by and is associated to the ISBN: 9781118174920. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 2.2: THE DERIVATIVE FUNCTION includes 30 full stepbystep solutions.

Acute angle
An angle whose measure is between 0° and 90°

artesian coordinate system
An association between the points in a plane and ordered pairs of real numbers; or an association between the points in threedimensional space and ordered triples of real numbers

Branches
The two separate curves that make up a hyperbola

Decreasing on an interval
A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

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

Halfangle identity
Identity involving a trigonometric function of u/2.

Interval
Connected subset of the real number line with at least two points, p. 4.

Logarithmic regression
See Natural logarithmic regression

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

Negative linear correlation
See Linear correlation.

NINT (ƒ(x), x, a, b)
A calculator approximation to ?ab ƒ(x)dx

Numerical derivative of ƒ at a
NDER f(a) = ƒ1a + 0.0012  ƒ1a  0.00120.002

Removable discontinuity at x = a
lim x:a ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

Synthetic division
A procedure used to divide a polynomial by a linear factor, x  a

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

Upper bound test for real zeros
A test for finding an upper bound for the real zeros of a polynomial.

Vertices of a hyperbola
The points where a hyperbola intersects the line containing its foci.

yzplane
The points (0, y, z) in Cartesian space.

Zero factorial
See n factorial.

Zero vector
The vector <0,0> or <0,0,0>.