 2.5.1: In Exercises 116. nnd rfv/rf.v by implicit differentiation. V + V...
 2.5.2: In Exercises 116. nnd rfv/rf.v by implicit differentiation. A 1 ...
 2.5.3: In Exercises 116. nnd rfv/rf.v by implicit differentiation. v'' ...
 2.5.4: In Exercises 116. nnd rfv/rf.v by implicit differentiation. A' + ...
 2.5.5: In Exercises 116. nnd rfv/rf.v by implicit differentiation. .r'  ...
 2.5.6: In Exercises 116. nnd rfv/rf.v by implicit differentiation. Ay + ...
 2.5.7: In Exercises 116. nnd rfv/rf.v by implicit differentiation. . .y'v...
 2.5.8: In Exercises 116. nnd rfv/rf.v by implicit differentiation.^ AT = ...
 2.5.9: In Exercises 116. nnd rfv/rf.v by implicit differentiation. . ,v' ...
 2.5.10: In Exercises 116. nnd rfv/rf.v by implicit differentiation. 2 sin ...
 2.5.11: In Exercises 116. nnd rfv/rf.v by implicit differentiation.Mil ,v ...
 2.5.12: In Exercises 116. nnd rfv/rf.v by implicit differentiation.(sm V ...
 2.5.13: In Exercises 116. nnd rfv/rf.v by implicit differentiation.sm A = ...
 2.5.14: In Exercises 116. nnd rfv/rf.v by implicit differentiation.cot y =...
 2.5.15: In Exercises 116. nnd rfv/rf.v by implicit differentiation. V sln(...
 2.5.16: In Exercises 116. nnd rfv/rf.v by implicit differentiation.A = sec
 2.5.17: In Exercises 1720, (a) find two explicit functions by solvlnj; the...
 2.5.18: In Exercises 1720, (a) find two explicit functions by solvlnj; the...
 2.5.19: In Exercises 1720, (a) find two explicit functions by solvlnj; the...
 2.5.20: In Exercises 1720, (a) find two explicit functions by solvlnj; the...
 2.5.21: In Exercises 2128. find dy/dx by implicit differentiation and eval...
 2.5.22: In Exercises 2128. find dy/dx by implicit differentiation and eval...
 2.5.23: In Exercises 2128. find dy/dx by implicit differentiation and eval...
 2.5.24: In Exercises 2128. find dy/dx by implicit differentiation and eval...
 2.5.25: In Exercises 2128. find dy/dx by implicit differentiation and eval...
 2.5.26: In Exercises 2128. find dy/dx by implicit differentiation and eval...
 2.5.27: In Exercises 2128. find dy/dx by implicit differentiation and eval...
 2.5.28: In Exercises 2128. find dy/dx by implicit differentiation and eval...
 2.5.29: In F'xercises 2932, find the slope of the tangent line to the yrap...
 2.5.30: In F'xercises 2932, find the slope of the tangent line to the yrap...
 2.5.31: In F'xercises 2932, find the slope of the tangent line to the yrap...
 2.5.32: In F'xercises 2932, find the slope of the tangent line to the yrap...
 2.5.33: In Exercises 33 and 34. find dyldx implicitly and find the largest ...
 2.5.34: In Exercises 33 and 34. find dyldx implicitly and find the largest ...
 2.5.35: In Exercises 3510, find dy/dx in terms of .v and y. A + y = 36
 2.5.36: In Exercises 3510, find dy/dx in terms of .v and y. a\  2a = 3
 2.5.37: In Exercises 3510, find dy/dx in terms of .v and y.A y = 16
 2.5.38: In Exercises 3510, find dy/dx in terms of .v and y. 1  at' = a  y
 2.5.39: In Exercises 3510, find dy/dx in terms of .v and y.y =
 2.5.40: In Exercises 3510, find dy/dx in terms of .v and y.y =
 2.5.41: In Exercises 41 and 42, use a graphing utility to graph the equatio...
 2.5.42: In Exercises 41 and 42, use a graphing utility to graph the equatio...
 2.5.43: In Exercises 43 and 44, find equations for the tangent line and nor...
 2.5.44: In Exercises 43 and 44, find equations for the tangent line and nor...
 2.5.45: Show that the normal line at any point on the circle A I )' = r...
 2.5.46: Two circles of radius 4 are tangent to the graph of y = 4a at llie...
 2.5.47: In Exercises 47 and 48, find the points at which the graph of the e...
 2.5.48: In Exercises 47 and 48, find the points at which the graph of the e...
 2.5.49: Orthogonal Trajectories In Exercises 4952, use a graphinj; utility...
 2.5.50: Orthogonal Trajectories In Exercises 4952, use a graphinj; utility...
 2.5.51: Orthogonal Trajectories In Exercises 4952, use a graphinj; utility...
 2.5.52: Orthogonal Trajectories In Exercises 4952, use a graphinj; utility...
 2.5.53: Orthogonal Trajectories In Exercises 53 and 54. \erifj that the two...
 2.5.54: Orthogonal Trajectories In Exercises 53 and 54. \erifj that the two...
 2.5.55: In Exercises 5558. differentiate (a) w ith respect to x ( y is a f...
 2.5.56: In Exercises 5558. differentiate (a) w ith respect to x ( y is a f...
 2.5.57: In Exercises 5558. differentiate (a) w ith respect to x ( y is a f...
 2.5.58: In Exercises 5558. differentiate (a) w ith respect to x ( y is a f...
 2.5.59: Describe the difference between the explicit form of a function and...
 2.5.60: In your own words, state the guidelines for implicit differentiation.
 2.5.61: Consider the eqnation a^ = 4(4a y). (a) Use a graphing utihty to ...
 2.5.62: Orthogonal Trajectories The figure below gives the topo graphic ma...
 2.5.63: Pro\e (Theorem 2.3) that '/r ... A" = JIX" ,/.V ' tor the case in w...
 2.5.64: Let L be any tangent line to the curve s/x + v^ = y7'. Show that th...
Solutions for Chapter 2.5: Implicit Differentation
Full solutions for Calculus of A Single Variable  7th Edition
ISBN: 9780618149162
Solutions for Chapter 2.5: Implicit Differentation
Get Full SolutionsSince 64 problems in chapter 2.5: Implicit Differentation have been answered, more than 23756 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162. This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7. Chapter 2.5: Implicit Differentation includes 64 full stepbystep solutions.

Additive inverse of a complex number
The opposite of a + bi, or a  bi

artesian coordinate system
An association between the points in a plane and ordered pairs of real numbers; or an association between the points in threedimensional space and ordered triples of real numbers

Coefficient matrix
A matrix whose elements are the coefficients in a system of linear equations

Difference identity
An identity involving a trigonometric function of u  v

Elementary row operations
The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

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

Exponent
See nth power of a.

Extraneous solution
Any solution of the resulting equation that is not a solution of the original equation.

Frequency distribution
See Frequency table.

Horizontal translation
A shift of a graph to the left or right.

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

Monomial function
A polynomial with exactly one term.

Normal curve
The graph of ƒ(x) = ex2/2

Pseudorandom numbers
Computergenerated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

Radian
The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.

Relation
A set of ordered pairs of real numbers.

Simple harmonic motion
Motion described by d = a sin wt or d = a cos wt

Standard position (angle)
An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive xaxis

Vertex of an angle
See Angle.

Xmax
The xvalue of the right side of the viewing window,.