 3.7.1E: Use implicit differentiation to find dy/dx in Exercises 1–16.
 3.7.2E: Use implicit differentiation to find dy/dx in Exercises 1–16.
 3.7.3E: Use implicit differentiation to find dy/dx in Exercises 1–16.
 3.7.4E: Use implicit differentiation to find dy/dx in Exercises 1–16.
 3.7.5E: Use implicit differentiation to find dy/dx in Exercises 1–16.
 3.7.6E: Use implicit differentiation to find dy/dx in Exercises 1–16.
 3.7.7E: Use implicit differentiation to find dy/dx in Exercises 1–16.
 3.7.8E: Use implicit differentiation to find dy/dx in Exercises 1–16.
 3.7.9E: Use implicit differentiation to find dy/dx in Exercises 1–16.
 3.7.10E: Use implicit differentiation to find dy/dx in Exercises 1–16.
 3.7.11E: Use implicit differentiation to find dy/dx in Exercises 1–16.
 3.7.12E: Use implicit differentiation to find dy/dx in Exercises 1–16.
 3.7.13E: Use implicit differentiation to find dy/dx in Exercises 1–16.
 3.7.14E: Use implicit differentiation to find dy/dx in Exercise given below:
 3.7.15E: Use implicit differentiation to find dy/dx in Exercises 1–16.
 3.7.16E: Use implicit differentiation to find dy/dx in Exercises 1–16.
 3.7.17E: Find dr/d? in Exercises 17–20.
 3.7.18E: Find dr/d? in Exercises 17–20.
 3.7.19E: Find dr/d? in Exercises 17–20.
 3.7.20E: Find dr/d? in Exercises 17–20.
 3.7.21E: In Exercises 21–26, use implicit differentiation to find dy/dx and ...
 3.7.22E: In Exercises 21–26, use implicit differentiation to find dy/dx and ...
 3.7.23E: In Exercises 21–26, use implicit differentiation to find dy/dx and ...
 3.7.24E: In Exercises 21–26, use implicit differentiation to find dy/dx and ...
 3.7.25E: In Exercises 21–26, use implicit differentiation to find dy/dx and ...
 3.7.26E: In Exercises 21–26, use implicit differentiation to find dy/dx and ...
 3.7.27E: If x3 + y3 = 16, find the value of d2y/dx2 at the point (2, 2).
 3.7.28E: If xy + y2 = 1, find the value of d2y/dx2 at the point (0, 1).
 3.7.29E: In Exercises 29 and 30, find the slope of the curve at the given po...
 3.7.30E: In Exercises 29 and 30, find the slope of the curve at the given po...
 3.7.31E: In Exercises 31–40, verify that the given point is on the curve and...
 3.7.32E: In Exercises 31–40, verify that the given point is on the curve and...
 3.7.33E: In Exercises 31–40, verify that the given point is on the curve and...
 3.7.34E: In Exercises 31–40, verify that the given point is on the curve and...
 3.7.35E: In Exercises 31–40, verify that the given point is on the curve and...
 3.7.36E: In Exercises 31–40, verify that the given point is on the curve and...
 3.7.37E: In Exercises 31–40, verify that the given point is on the curve and...
 3.7.38E: In Exercises 31–40, verify that the given point is on the curve and...
 3.7.39E: In Exercises 31–40, verify that the given point is on the curve and...
 3.7.40E: In Exercises 31–40, verify that the given point is on the curve and...
 3.7.41E: Parallel tangents Find the two points where the curve x2 + xy + y2 ...
 3.7.42E: Normals parallel to a line Find the normals to the curve xy + 2x  ...
 3.7.43E: The eight curve Find the slopes of the curve y4 = y2  x2 at the tw...
 3.7.44E: The cissoid of Diocles (from about 200 B.C.) Find equations for the...
 3.7.45E: The devil’s curve (Gabriel Cramer, 1750) Find the slopes of the dev...
 3.7.46E: The folium of Descartes (See Figure 3.28.)a. Find the slope of the ...
 3.7.47E: Intersecting normal The line that is normal to the curve x2 + 2xy ...
 3.7.48E: Power rule for rational exponents Let p and q be integers with q > ...
 3.7.49E: Normals to a parabola Show that if it is possible to draw three nor...
 3.7.50E: Is there anything special about the tangents to the curves y2 = x3 ...
 3.7.51E: Verify that the following pairs of curves meet orthogonally.
 3.7.52E: The graph of y2 = x3 is called a semicubical parabola and is shown ...
 3.7.53E: In Exercises 53 and 54, find both dy/dx (treating y as a differenti...
 3.7.54E: In Exercises 53 and 54, find both dy/dx (treating y as a differenti...
 3.7.55CE: Use a CAS to perform the following steps in Exercises 55–62.a. Plot...
 3.7.56CE: Use a CAS to perform the following steps in Exercises 55–62.a. Plot...
 3.7.57CE: Use a CAS to perform the following steps in Exercises 55–62.a. Plot...
 3.7.58CE: Use a CAS to perform the following steps in Exercises 55–62.a. Plot...
 3.7.59CE: Use a CAS to perform the following steps in Exercises 55–62.a. Plot...
 3.7.60CE: Use a CAS to perform the following steps in Exercises 55–62.a. Plot...
 3.7.61CE: Use a CAS to perform the following steps in Exercises 55–62.a. Plot...
 3.7.62CE: Use a CAS to perform the following steps in Exercises 55–62.a. Plot...
Solutions for Chapter 3.7: University Calculus: Early Transcendentals 2nd Edition
Full solutions for University Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321717399
Solutions for Chapter 3.7
Get Full SolutionsThis textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. Since 62 problems in chapter 3.7 have been answered, more than 58398 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. Chapter 3.7 includes 62 full stepbystep solutions.

Branches
The two separate curves that make up a hyperbola

Cardioid
A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

Characteristic polynomial of a square matrix A
det(xIn  A), where A is an n x n matrix

Dihedral angle
An angle formed by two intersecting planes,

Domain of validity of an identity
The set of values of the variable for which both sides of the identity are defined

Factored form
The left side of u(v + w) = uv + uw.

Fivenumber summary
The minimum, first quartile, median, third quartile, and maximum of a data set.

Index
See Radical.

Infinite discontinuity at x = a
limx:a + x a ƒ(x) = q6 or limx:a  ƒ(x) = q.

Invertible linear system
A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

Lemniscate
A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

Natural logarithmic function
The inverse of the exponential function y = ex, denoted by y = ln x.

Parallel lines
Two lines that are both vertical or have equal slopes.

Parametric equations for a line in space
The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

Polar coordinates
The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

Positive angle
Angle generated by a counterclockwise rotation.

Real part of a complex number
See Complex number.

Solve a triangle
To find one or more unknown sides or angles of a triangle

Vertical component
See Component form of a vector.

xaxis
Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.