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# Solutions for Chapter 14.5: The Chain Rule ## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397 Solutions for Chapter 14.5: The Chain Rule

Solutions for Chapter 14.5
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##### ISBN: 9780534393397

Calculus, was written by and is associated to the ISBN: 9780534393397. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Since 56 problems in chapter 14.5: The Chain Rule have been answered, more than 43786 students have viewed full step-by-step solutions from this chapter. Chapter 14.5: The Chain Rule includes 56 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Axis of symmetry

See Line of symmetry.

• Bearing

Measure of the clockwise angle that the line of travel makes with due north

• Conjugate axis of a hyperbola

The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

• Data

Facts collected for statistical purposes (singular form is datum)

• Distance (in Cartesian space)

The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x ) - x 2)2 + (y1 - y2)2 + (z 1 - z 2)2

• Endpoint of an interval

A real number that represents one “end” of an interval.

• Equally likely outcomes

Outcomes of an experiment that have the same probability of occurring.

• Geometric series

A series whose terms form a geometric sequence.

• Imaginary axis

See Complex plane.

• Independent events

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

• Index of summation

See Summation notation.

• Logarithmic form

An equation written with logarithms instead of exponents

• Monomial function

A polynomial with exactly one term.

• Nautical mile

Length of 1 minute of arc along the Earth’s equator.

• Pythagorean identities

sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

• Reciprocal identity

An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

• Sample survey

A process for gathering data from a subset of a population, usually through direct questioning.

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

• Upper bound test for real zeros

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

• Variance

The square of the standard deviation.

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