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# Solutions for Chapter 3: Differentiation

## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770

Solutions for Chapter 3: Differentiation

Solutions for Chapter 3
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##### ISBN: 9781285774770

This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Since 128 problems in chapter 3: Differentiation have been answered, more than 167813 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. Chapter 3: Differentiation includes 128 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Angle

Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

• Arrow

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

• Dependent variable

Variable representing the range value of a function (usually y)

• Distance (on a number line)

The distance between real numbers a and b, or |a - b|

• Division

a b = aa 1 b b, b Z 0

• Frequency

Reciprocal of the period of a sinusoid.

• Independent events

Events A and B such that P(A and B) = P(A)P(B)

• Measure of an angle

The number of degrees or radians in an angle

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Orthogonal vectors

Two vectors u and v with u x v = 0.

• Plane in Cartesian space

The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

• Product rule of logarithms

ogb 1RS2 = logb R + logb S, R > 0, S > 0,

Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

• Rational function

Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

• Reciprocal of a real number

See Multiplicative inverse of a real number.

• Solve algebraically

Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

• Supply curve

p = ƒ(x), where x represents production and p represents price

• Vertices of a hyperbola

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

• Weights

See Weighted mean.

• Ymin

The y-value of the bottom of the viewing window.