- 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: One-sided derivatives? ?The left-hand and right-hand derivatives of...
- 3.1.60AE: One-sided derivatives? ?The left-hand and right-hand 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
Since 37 problems in chapter 3.1 have been answered, more than 64074 students have viewed full step-by-step 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 step-by-step solutions.
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Acute angle
An angle whose measure is between 0° and 90°
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Binomial
A polynomial with exactly two terms
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Cotangent
The function y = cot x
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Leibniz notation
The notation dy/dx for the derivative of ƒ.
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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
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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
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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)
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Natural numbers
The numbers 1, 2, 3, . . . ,.
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One-to-one rule of logarithms
x = y if and only if logb x = logb y.
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Parallelogram representation of vector addition
Geometric representation of vector addition using the parallelogram determined by the position vectors.
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Polar form of a complex number
See Trigonometric form of a complex number.
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Pole
See Polar coordinate system.
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Quadratic equation in x
An equation that can be written in the form ax 2 + bx + c = 01a ? 02
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Quadric surface
The graph in three dimensions of a seconddegree equation in three variables.
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Rational zeros
Zeros of a function that are rational numbers.
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Reference triangle
For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the x-axis, and a perpendicular dropped from a point on the terminal side to the x-axis. The angle in a reference triangle at the origin is the reference angle
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Rigid transformation
A transformation that leaves the basic shape of a graph unchanged.
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Unit circle
A circle with radius 1 centered at the origin.
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Viewing window
The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].
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Work
The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.