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# Solutions for Chapter 3.8: Derivatives of Logarithmic Functions

## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397

Solutions for Chapter 3.8: Derivatives of Logarithmic Functions

Solutions for Chapter 3.8
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##### 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. Calculus, was written by and is associated to the ISBN: 9780534393397. Since 52 problems in chapter 3.8: Derivatives of Logarithmic Functions have been answered, more than 45215 students have viewed full step-by-step solutions from this chapter. Chapter 3.8: Derivatives of Logarithmic Functions includes 52 full step-by-step 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)

• Arccosecant function

See Inverse cosecant function.

• artesian coordinate system

An association between the points in a plane and ordered pairs of real numbers; or an association between the points in three-dimensional space and ordered triples of real numbers

• Binomial theorem

A theorem that gives an expansion formula for (a + b)n

• Common difference

See Arithmetic sequence.

• Confounding variable

A third variable that affects either of two variables being studied, making inferences about causation unreliable

• Dependent variable

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

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• Interval

Connected subset of the real number line with at least two points, p. 4.

• Line graph

A graph of data in which consecutive data points are connected by line segments

• Main diagonal

The diagonal from the top left to the bottom right of a square matrix

• Minor axis

The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

• Multiplicative inverse of a complex number

The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

• Parabola

The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

• Parametric equations for a line in space

The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

• Random numbers

Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

• Re-expression of data

A transformation of a data set.

• Symmetric property of equality

If a = b, then b = a

• Yscl

The scale of the tick marks on the y-axis in a viewing window.

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