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# Solutions for Chapter 14.6: Directional Derivatives and the Gradient Vector ## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397 Solutions for Chapter 14.6: Directional Derivatives and the Gradient Vector

Solutions for Chapter 14.6
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##### ISBN: 9780534393397

This textbook survival guide was created for the textbook: Calculus,, edition: 5. Chapter 14.6: Directional Derivatives and the Gradient Vector includes 64 full step-by-step solutions. Calculus, was written by and is associated to the ISBN: 9780534393397. This expansive textbook survival guide covers the following chapters and their solutions. Since 64 problems in chapter 14.6: Directional Derivatives and the Gradient Vector have been answered, more than 47516 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Angle of depression

The acute angle formed by the line of sight (downward) and the horizontal

• Arcsecant function

See Inverse secant function.

• Complex conjugates

Complex numbers a + bi and a - bi

• Compounded monthly

See Compounded k times per year.

• Convergence of a sequence

A sequence {an} converges to a if limn: q an = a

• Difference of functions

(ƒ - g)(x) = ƒ(x) - g(x)

• Focal axis

The line through the focus and perpendicular to the directrix of a conic.

• Focus, foci

See Ellipse, Hyperbola, Parabola.

• Higher-degree polynomial function

A polynomial function whose degree is ? 3

• Natural logarithm

A logarithm with base e.

• Probability distribution

The collection of probabilities of outcomes in a sample space assigned by a probability function.

• Real number line

A horizontal line that represents the set of real numbers.

• Right triangle

A triangle with a 90° angle.

• Sum of complex numbers

(a + bi) + (c + di) = (a + c) + (b + d)i

A graph in which (-x, -y) is on the the graph whenever (x, y) is; or a graph in which (-r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

• Transpose of a matrix

The matrix AT obtained by interchanging the rows and columns of A.

• Tree diagram

A visualization of the Multiplication Principle of Probability.

• Xmin

The x-value of the left side of the viewing window,.

• xz-plane

The points x, 0, z in Cartesian space.

• Zero matrix

A matrix consisting entirely of zeros.

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