 155.1: Given f(x) = x3 6x2 + 8x + 5, a. Estimate numerically the instantan...
 155.2: Given g(x) = x3 2x2 x + 6, a. Estimate numerically the instantaneou...
 155.3: Figure 155e shows the position of a moving object in time. Figure ...
 155.4: Figure 155f shows the position of a moving object in time. Figure ...
 155.5: Tim and Lums Board Pricing Problem: Tim Burr and his brother Lum ow...
 155.6: Bumblebee Problem: A bumblebee flies past a flower. It decides to g...
 155.7: Derivative Shortcut for Power Function Problem: In this problem you...
 155.8: Instantaneous Rate Quickly Problem: Use the pattern in to find quic...
 155.9: For 916, use the pattern described in the box to find the equation ...
 155.10: For 916, use the pattern described in the box to find the equation ...
 155.11: For 916, use the pattern described in the box to find the equation ...
 155.12: For 916, use the pattern described in the box to find the equation ...
 155.13: For 916, use the pattern described in the box to find the equation ...
 155.14: For 916, use the pattern described in the box to find the equation ...
 155.15: For 916, use the pattern described in the box to find the equation ...
 155.16: For 916, use the pattern described in the box to find the equation ...
 155.17: For 1722, find the derivative function, f (x). Use the fact that t...
 155.18: For 1722, find the derivative function, f (x). Use the fact that t...
 155.19: For 1722, find the derivative function, f (x). Use the fact that t...
 155.20: For 1722, find the derivative function, f (x). Use the fact that t...
 155.21: For 1722, find the derivative function, f (x). Use the fact that t...
 155.22: For 1722, find the derivative function, f (x). Use the fact that t...
 155.23: For 23 and 24, find the particular equation of the line tangent to ...
 155.24: For 23 and 24, find the particular equation of the line tangent to ...
 155.25: Derivative of an Exponential Function Problem: Figure 155j shows t...
 155.26: Historical Research Problem: On the Internet or via another referen...
Solutions for Chapter 155: Instantaneous Rate of Change of a Function: The Derivative
Full solutions for Precalculus with Trigonometry: Concepts and Applications  1st Edition
ISBN: 9781559533911
Solutions for Chapter 155: Instantaneous Rate of Change of a Function: The Derivative
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Precalculus with Trigonometry: Concepts and Applications was written by and is associated to the ISBN: 9781559533911. Chapter 155: Instantaneous Rate of Change of a Function: The Derivative includes 26 full stepbystep solutions. This textbook survival guide was created for the textbook: Precalculus with Trigonometry: Concepts and Applications, edition: 1. Since 26 problems in chapter 155: Instantaneous Rate of Change of a Function: The Derivative have been answered, more than 20845 students have viewed full stepbystep solutions from this chapter.

Arrow
The notation PQ denoting the directed line segment with initial point P and terminal point Q.

Circle graph
A circular graphical display of categorical data

Coefficient matrix
A matrix whose elements are the coefficients in a system of linear equations

Confounding variable
A third variable that affects either of two variables being studied, making inferences about causation unreliable

Constraints
See Linear programming problem.

Difference of functions
(ƒ  g)(x) = ƒ(x)  g(x)

Difference of two vectors
<u1, u2>  <v1, v2> = <u1  v1, u2  v2> or <u1, u2, u3>  <v1, v2, v3> = <u1  v1, u2  v2, u3  v3>

Equation
A statement of equality between two expressions.

Inverse relation (of the relation R)
A relation that consists of all ordered pairs b, a for which a, b belongs to R.

Inverse tangent function
The function y = tan1 x

Mapping
A function viewed as a mapping of the elements of the domain onto the elements of the range

Mean (of a set of data)
The sum of all the data divided by the total number of items

Opens upward or downward
A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

Product of functions
(ƒg)(x) = ƒ(x)g(x)

Real axis
See Complex plane.

Real zeros
Zeros of a function that are real numbers.

Root of a number
See Principal nth root.

Vertex form for a quadratic function
ƒ(x) = a(x  h)2 + k

Work
The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.

yintercept
A point that lies on both the graph and the yaxis.