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# Solutions for Chapter 4.3: The Product and Quotient Rules, and the Derivatives of Rational and Power Functions ## Full solutions for Calculus For Biology and Medicine (Calculus for Life Sciences Series) | 3rd Edition

ISBN: 9780321644688 Solutions for Chapter 4.3: The Product and Quotient Rules, and the Derivatives of Rational and Power Functions

Solutions for Chapter 4.3
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##### ISBN: 9780321644688

Chapter 4.3: The Product and Quotient Rules, and the Derivatives of Rational and Power Functions includes 94 full step-by-step solutions. Since 94 problems in chapter 4.3: The Product and Quotient Rules, and the Derivatives of Rational and Power Functions have been answered, more than 21733 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. This expansive textbook survival guide covers the following chapters and their solutions. Calculus For Biology and Medicine (Calculus for Life Sciences Series) was written by and is associated to the ISBN: 9780321644688.

Key Calculus Terms and definitions covered in this textbook
• Arc length formula

The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

• Central angle

An angle whose vertex is the center of a circle

• Combination

An arrangement of elements of a set, in which order is not important

• Common ratio

See Geometric sequence.

• Complex conjugates

Complex numbers a + bi and a - bi

• Compounded k times per year

Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.

• Coterminal angles

Two angles having the same initial side and the same terminal side

• Derivative of ƒ at x a

ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists

• DMS measure

The measure of an angle in degrees, minutes, and seconds

• Hyperboloid of revolution

A surface generated by rotating a hyperbola about its transverse axis, p. 607.

• Law of sines

sin A a = sin B b = sin C c

• Linear system

A system of linear equations

• Lower bound test for real zeros

A test for finding a lower bound for the real zeros of a polynomial

• Parameter

See Parametric equations.

• Product of a scalar and a vector

The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

• Reflection across the y-axis

x, y and (-x,y) are reflections of each other across the y-axis.

• Remainder theorem

If a polynomial f(x) is divided by x - c , the remainder is ƒ(c)

• Series

A finite or infinite sum of terms.

• Solve graphically

Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

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