 3.5.1: In Exercises 120, find by implicit differentiation. x2 y 2 36d
 3.5.2: In Exercises 120, find by implicit differentiation.x2 y 2 81
 3.5.3: In Exercises 120, find by implicit differentiation.x12 y12 9x
 3.5.4: In Exercises 120, find by implicit differentiation.
 3.5.5: In Exercises 120, find by implicit differentiation.x3 xy y 2 4x
 3.5.6: In Exercises 120, find by implicit differentiation.
 3.5.7: In Exercises 120, find by implicit differentiation.xey 10x 3y 0x
 3.5.8: In Exercises 120, find by implicit differentiation.
 3.5.9: In Exercises 120, find by implicit differentiation.x3y3 y x
 3.5.10: In Exercises 120, find by implicit differentiation.
 3.5.11: In Exercises 120, find by implicit differentiation.x3 2x2y 3xy2 38x
 3.5.12: In Exercises 120, find by implicit differentiation.2 sin x cos y 1x
 3.5.13: In Exercises 120, find by implicit differentiation.sin x 2 cos 2y 12
 3.5.14: In Exercises 120, find by implicit differentiation.sin x cos y2 2si
 3.5.15: In Exercises 120, find by implicit differentiation.sin x x1 tan ys
 3.5.16: In Exercises 120, find by implicit differentiation.cot y x ys
 3.5.17: In Exercises 120, find by implicit differentiation.y sinxyc
 3.5.18: In Exercises 120, find by implicit differentiation.y sinxyc
 3.5.19: In Exercises 120, find by implicit differentiation.2 3 ln y y2 10x
 3.5.20: In Exercises 120, find by implicit differentiation.ln xy 5x 30x
 3.5.21: In Exercises 2124, (a) find two explicit functions by solving the e...
 3.5.22: In Exercises 2124, (a) find two explicit functions by solving the e...
 3.5.23: In Exercises 2124, (a) find two explicit functions by solving the e...
 3.5.24: In Exercises 2124, (a) find two explicit functions by solving the e...
 3.5.25: In Exercises 2534, find by implicit differentiation and evaluate th...
 3.5.26: In Exercises 2534, find by implicit differentiation and evaluate th...
 3.5.27: In Exercises 2534, find by implicit differentiation and evaluate th...
 3.5.28: In Exercises 2534, find by implicit differentiation and evaluate th...
 3.5.29: In Exercises 2534, find by implicit differentiation and evaluate th...
 3.5.30: In Exercises 2534, find by implicit differentiation and evaluate th...
 3.5.31: In Exercises 2534, find by implicit differentiation and evaluate th...
 3.5.32: In Exercises 2534, find by implicit differentiation and evaluate th...
 3.5.33: In Exercises 2534, find by implicit differentiation and evaluate th...
 3.5.34: In Exercises 2534, find by implicit differentiation and evaluate th...
 3.5.35: Famous Curves In Exercises 3538, find the slope of the tangent line...
 3.5.36: Famous Curves In Exercises 3538, find the slope of the tangent line...
 3.5.37: Famous Curves In Exercises 3538, find the slope of the tangent line...
 3.5.38: Famous Curves In Exercises 3538, find the slope of the tangent line...
 3.5.39: Famous Curves In Exercises 3946, find an equation of the tangent li...
 3.5.40: Famous Curves In Exercises 3946, find an equation of the tangent li...
 3.5.41: Famous Curves In Exercises 3946, find an equation of the tangent li...
 3.5.42: Famous Curves In Exercises 3946, find an equation of the tangent li...
 3.5.43: Famous Curves In Exercises 3946, find an equation of the tangent li...
 3.5.44: Famous Curves In Exercises 3946, find an equation of the tangent li...
 3.5.45: Famous Curves In Exercises 3946, find an equation of the tangent li...
 3.5.46: Famous Curves In Exercises 3946, find an equation of the tangent li...
 3.5.47: (a) Use implicit differentiation to find an equation of the tangent...
 3.5.48: (a) Use implicit differentiation to find an equation of the tangent...
 3.5.49: In Exercises 49 and 50, find implicitly and find the largest interv...
 3.5.50: n Exercises 49 and 50, find implicitly and find the largest interva...
 3.5.51: In Exercises 5156, find in terms of and y x 2 2x 3 2 y2 36
 3.5.52: In Exercises 5156, find in terms of and yx2y x 2 2x 3
 3.5.53: In Exercises 5156, find in terms of and yx 1 xy x y 2 y 2 16
 3.5.54: In Exercises 5156, find in terms of and yx 1 xy x y 2 y 2 16
 3.5.55: In Exercises 5156, find in terms of and yy 2 4x 2 x3
 3.5.56: In Exercises 5156, find in terms of and yy 2 4x 2 x3
 3.5.57: In Exercises 57 and 58, use a graphing utility to graph the equatio...
 3.5.58: In Exercises 57 and 58, use a graphing utility to graph the equatio...
 3.5.59: In Exercises 59 and 60, find equations for the tangent line and nor...
 3.5.60: In Exercises 59 and 60, find equations for the tangent line and nor...
 3.5.61: Show that the normal line at any point on the circle passes through...
 3.5.62: Two circles of radius 4 are tangent to the graph of at the point Fi...
 3.5.63: In Exercises 63 and 64, find the points at which the graph of the e...
 3.5.64: In Exercises 63 and 64, find the points at which the graph of the e...
 3.5.65: In Exercises 6574, find using logarithmic differentiation.y xx2 1
 3.5.66: In Exercises 6574, find using logarithmic differentiation.y x 1x 2x 3y
 3.5.67: In Exercises 6574, find using logarithmic differentiation.y x23x 2x...
 3.5.68: In Exercises 6574, find using logarithmic differentiation.y x2 2x2 2 y
 3.5.69: In Exercises 6574, find using logarithmic differentiation.y xx 132x 1y
 3.5.70: In Exercises 6574, find using logarithmic differentiation.y x 1x 2x...
 3.5.71: In Exercises 6574, find using logarithmic differentiation.y x2x
 3.5.72: In Exercises 6574, find using logarithmic differentiation.y xx1 y
 3.5.73: In Exercises 6574, find using logarithmic differentiation.y x 2x1y
 3.5.74: In Exercises 6574, find using logarithmic differentiation.y 1 x1x y
 3.5.75: Orthogonal Trajectories In Exercises 7578, use a graphing utility t...
 3.5.76: Orthogonal Trajectories In Exercises 7578, use a graphing utility t...
 3.5.77: Orthogonal Trajectories In Exercises 7578, use a graphing utility t...
 3.5.78: Orthogonal Trajectories In Exercises 7578, use a graphing utility t...
 3.5.79: Orthogonal Trajectories In Exercises 79 and 80, verify that the two...
 3.5.80: Orthogonal Trajectories In Exercises 79 and 80, verify that the two...
 3.5.81: In Exercises 8184, differentiate (a) with respect to ( is a functio...
 3.5.82: In Exercises 8184, differentiate (a) with respect to ( is a functio...
 3.5.83: In Exercises 8184, differentiate (a) with respect to ( is a functio...
 3.5.84: In Exercises 8184, differentiate (a) with respect to ( is a functio...
 3.5.85: Describe the difference between the explicit form of a function and...
 3.5.86: Describe the difference between the explicit form of a function and...
 3.5.87: Orthogonal Trajectories The figure below shows the topographic map ...
 3.5.88: Weather Map The weather map shows several isobars curves that repre...
 3.5.89: Consider the equation (a) Use a graphing utility to graph the equat...
 3.5.90: Let be any tangent line to the curve Show that the sum of the and i...
 3.5.91: Prove (Theorem 3.3) that for the case in which is a rational number...
 3.5.92: Slope Find all points on the circle where the slope is 34.
 3.5.93: Horizontal Tangent Determine the point(s) at which the graph of has...
 3.5.94: Tangent Lines Find equations of both tangent lines to the ellipse t...
 3.5.95: Normals to a Parabola The graph shows the normal lines from the poi...
 3.5.96: Normal Lines (a) Find an equation of the normal line to the ellipse...
Solutions for Chapter 3.5: Implicit Differentiation
Full solutions for Calculus: Early Transcendental Functions  4th Edition
ISBN: 9780618606245
Solutions for Chapter 3.5: Implicit Differentiation
Get Full SolutionsCalculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245. This expansive textbook survival guide covers the following chapters and their solutions. Since 96 problems in chapter 3.5: Implicit Differentiation have been answered, more than 40713 students have viewed full stepbystep solutions from this chapter. Chapter 3.5: Implicit Differentiation includes 96 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4.

Bounded above
A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

Boxplot (or boxandwhisker plot)
A graph that displays a fivenumber summary

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.

Degree of a polynomial (function)
The largest exponent on the variable in any of the terms of the polynomial (function)

Difference identity
An identity involving a trigonometric function of u  v

Imaginary part of a complex number
See Complex number.

Leibniz notation
The notation dy/dx for the derivative of ƒ.

Line of travel
The path along which an object travels

Linear equation in x
An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

Matrix, m x n
A rectangular array of m rows and n columns of real numbers

Objective function
See Linear programming problem.

Pole
See Polar coordinate system.

Reexpression of data
A transformation of a data set.

Sum of an infinite series
See Convergence of a series

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

Terminal side of an angle
See Angle.

Transitive property
If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

Upper bound for real zeros
A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

Vertex of a parabola
The point of intersection of a parabola and its line of symmetry.

Weights
See Weighted mean.