 48.Q1: Differentiate: y = x2001
 48.Q2: Differentiate: y = 2001x
 48.Q3: (x2 5x)/(x 5) = ?
 48.Q4: Differentiate: f(u) = cot u
 48.Q5: A definite integral is a ? of x and y.
 48.Q6: y = tan1 3x = ?
 48.Q7: If dy/dx = 3x2, what could y equal?
 48.Q8: A derivative is an ?.
 48.Q9: Sketch the derivative of the function graphed in Figure 48c. Figur...
 48.Q10: If the position x(t), in feet, of a moving object is given by x(t) ...
 48.1: For 120, differentiate implicitly to find in terms of x and y.x3 + ...
 48.2: For 120, differentiate implicitly to find in terms of x and y.3x5 y...
 48.3: For 120, differentiate implicitly to find in terms of x and y.x ln ...
 48.4: For 120, differentiate implicitly to find in terms of x and y. yex ...
 48.5: For 120, differentiate implicitly to find in terms of x and y.x + x...
 48.6: For 120, differentiate implicitly to find in terms of x and y.cos x...
 48.7: For 120, differentiate implicitly to find in terms of x and y.x0.5 ...
 48.8: For 120, differentiate implicitly to find in terms of x and y. x1.2...
 48.9: For 120, differentiate implicitly to find in terms of x and y.exy =...
 48.10: For 120, differentiate implicitly to find in terms of x and y. ln x...
 48.11: For 120, differentiate implicitly to find in terms of x and y.(x3y4...
 48.12: For 120, differentiate implicitly to find in terms of x and y.(xy)6...
 48.13: For 120, differentiate implicitly to find in terms of x and y.cos2 ...
 48.14: For 120, differentiate implicitly to find in terms of x and y. sec2...
 48.15: For 120, differentiate implicitly to find in terms of x and y.tan x...
 48.16: For 120, differentiate implicitly to find in terms of x and y.cos x...
 48.17: For 120, differentiate implicitly to find in terms of x and y.sin y...
 48.18: For 120, differentiate implicitly to find in terms of x and y. cos ...
 48.19: For 120, differentiate implicitly to find in terms of x and y. csc ...
 48.20: For 120, differentiate implicitly to find in terms of x and y. cot ...
 48.21: Derive the formula for if y = cos1 x by writing the given function ...
 48.22: Derive the formula for if y = ln x by writing the given equation as...
 48.23: If y = x11/5, prove that the power rule for powers with integer exp...
 48.24: Derivative of a Rational Power: Suppose that y = xn, where n = a/b ...
 48.25: Circle Problem: Consider the circle Figure 48d a. Show that the po...
 48.26: Hyperbola Problem: Consider the hyperbola x2 y2 = 36 (Figure 48e)....
 48.27: Cubic Circle Problem: Figure 48f shows the cubic circle x3 + y3 = ...
 48.28: Ovals of Cassini Project: Figure 48g shows the ovals of Cassini, [...
Solutions for Chapter 48: Graphs and Derivatives of Implicit Relations
Full solutions for Calculus: Concepts and Applications  2nd Edition
ISBN: 9781559536547
Solutions for Chapter 48: Graphs and Derivatives of Implicit Relations
Get Full SolutionsSince 38 problems in chapter 48: Graphs and Derivatives of Implicit Relations have been answered, more than 7846 students have viewed full stepbystep solutions from this chapter. Calculus: Concepts and Applications was written by Patricia and is associated to the ISBN: 9781559536547. Chapter 48: Graphs and Derivatives of Implicit Relations includes 38 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2.

Argument of a complex number
The argument of a + bi is the direction angle of the vector {a,b}.

Center
The central point in a circle, ellipse, hyperbola, or sphere

Complements or complementary angles
Two angles of positive measure whose sum is 90°

Compounded annually
See Compounded k times per year.

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

Equivalent equations (inequalities)
Equations (inequalities) that have the same solutions.

Expanded form
The right side of u(v + w) = uv + uw.

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

Irreducible quadratic over the reals
A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

Local maximum
A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

Onetoone function
A function in which each element of the range corresponds to exactly one element in the domain

Origin
The number zero on a number line, or the point where the x and yaxes cross in the Cartesian coordinate system, or the point where the x, y, and zaxes cross in Cartesian threedimensional space

Parametric equations
Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

Quartile
The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

Relevant domain
The portion of the domain applicable to the situation being modeled.

Repeated zeros
Zeros of multiplicity ? 2 (see Multiplicity).

Riemann sum
A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

Right angle
A 90° angle.

Slant line
A line that is neither horizontal nor vertical

Symmetric property of equality
If a = b, then b = a
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