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# Solutions for Chapter 3.6: Implicit Differentiation ## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397 Solutions for Chapter 3.6: Implicit Differentiation

Solutions for Chapter 3.6
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##### ISBN: 9780534393397

Calculus, was written by and is associated to the ISBN: 9780534393397. Chapter 3.6: Implicit Differentiation includes 69 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Since 69 problems in chapter 3.6: Implicit Differentiation have been answered, more than 43738 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Binomial

A polynomial with exactly two terms

• Causation

A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

• Complex fraction

See Compound fraction.

• Confounding variable

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

• Cubic

A degree 3 polynomial function

• Derivative of ƒ at x a

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

• Difference identity

An identity involving a trigonometric function of u - v

• Divergence

A sequence or series diverges if it does not converge

• End behavior

The behavior of a graph of a function as.

• Half-angle identity

Identity involving a trigonometric function of u/2.

• Irrational zeros

Zeros of a function that are irrational numbers.

• Multiplicity

The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x - c) (x - z 2) Á (x - z n)

• Parameter

See Parametric equations.

Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

• Quotient polynomial

See Division algorithm for polynomials.

• Rational numbers

Numbers that can be written as a/b, where a and b are integers, and b ? 0.

• Reciprocal identity

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

• Semiminor axis

The distance from the center of an ellipse to a point on the ellipse along a line perpendicular to the major axis.

• Symmetric property of equality

If a = b, then b = a

• Transformation

A function that maps real numbers to real numbers.

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