 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 64074 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.

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

Binomial
A polynomial with exactly two terms

Cotangent
The function y = cot x

Leibniz notation
The notation dy/dx for the derivative of ƒ.

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

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)

Natural numbers
The numbers 1, 2, 3, . . . ,.

Onetoone rule of logarithms
x = y if and only if logb x = logb y.

Parallelogram representation of vector addition
Geometric representation of vector addition using the parallelogram determined by the position vectors.

Polar form of a complex number
See Trigonometric form of a complex number.

Pole
See Polar coordinate system.

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

Quadric surface
The graph in three dimensions of a seconddegree equation in three variables.

Rational zeros
Zeros of a function that are rational numbers.

Reference triangle
For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the xaxis, and a perpendicular dropped from a point on the terminal side to the xaxis. The angle in a reference triangle at the origin is the reference angle

Rigid transformation
A transformation that leaves the basic shape of a graph unchanged.

Unit circle
A circle with radius 1 centered at the origin.

Viewing window
The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].

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