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# Solutions for Chapter 4.4: The Chain Rule and Higher Derivatives

## Full solutions for Calculus For Biology and Medicine (Calculus for Life Sciences Series) | 3rd Edition

ISBN: 9780321644688

Solutions for Chapter 4.4: The Chain Rule and Higher Derivatives

Solutions for Chapter 4.4
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##### ISBN: 9780321644688

Since 87 problems in chapter 4.4: The Chain Rule and Higher Derivatives have been answered, more than 20212 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus For Biology and Medicine (Calculus for Life Sciences Series), edition: 3. Chapter 4.4: The Chain Rule and Higher Derivatives includes 87 full step-by-step solutions. Calculus For Biology and Medicine (Calculus for Life Sciences Series) was written by and is associated to the ISBN: 9780321644688. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Compounded monthly

See Compounded k times per year.

• Correlation coefficient

A measure of the strength of the linear relationship between two variables, pp. 146, 162.

• Cosecant

The function y = csc x

• Cycloid

The graph of the parametric equations

• equation of a parabola

(x - h)2 = 4p(y - k) or (y - k)2 = 4p(x - h)

• Finite sequence

A function whose domain is the first n positive integers for some fixed integer n.

• Focal width of a parabola

The length of the chord through the focus and perpendicular to the axis.

• Inequality symbol or

<,>,<,>.

• Nautical mile

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

• Number line graph of a linear inequality

The graph of the solutions of a linear inequality (in x) on a number line

• Order of magnitude (of n)

log n.

• Paraboloid of revolution

A surface generated by rotating a parabola about its line of symmetry.

• Power function

A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

• Principle of mathematical induction

A principle related to mathematical induction.

• Product of matrices A and B

The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

• Regression model

An equation found by regression and which can be used to predict unknown values.

• Square matrix

A matrix whose number of rows equals the number of columns.

• Triangular number

A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

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