 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 19248 students have viewed full stepbystep solutions from this chapter. Calculus: Concepts and Applications was written by 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.

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

Categorical variable
In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.

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

Constant
A letter or symbol that stands for a specific number,

Derivative of ƒ
The function defined by ƒ'(x) = limh:0ƒ(x + h)  ƒ(x)h for all of x where the limit exists

Equal matrices
Matrices that have the same order and equal corresponding elements.

equation of a quadratic function
ƒ(x) = ax 2 + bx + c(a ? 0)

Expanded form of a series
A series written explicitly as a sum of terms (not in summation notation).

Horizontal line
y = b.

Mode of a data set
The category or number that occurs most frequently in the set.

Multiplication property of equality
If u = v and w = z, then uw = vz

Numerical model
A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

Ordered set
A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

Power regression
A procedure for fitting a curve y = a . x b to a set of data.

Probability simulation
A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

Reference triangle
For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the xaxis, and a perpendicular dropped from a point on the terminal side to the xaxis. The angle in a reference triangle at the origin is the reference angle

Relation
A set of ordered pairs of real numbers.

Root of an equation
A solution.

Symmetric matrix
A matrix A = [aij] with the property aij = aji for all i and j

Zero factorial
See n factorial.