Problem 83E: Explicit and Implicit Functions Describe the difference between the explicit form of a function and... Problem 1E: Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation. x2+y2=9 Problem 2E: Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation. x2y2=25 Problem 3E: Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation. x5+y5=16 Problem 4E: Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation. 2x3+3y3=64 Problem 5E: Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation. x3xy+y2=7 Problem 6E: Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation. x2y+y2x=2 Problem 7E: Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation. x3y3y=x Problem 8E: Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation. xy=x2y+1 Problem 9E: Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation. xey10x+3y=0 Problem 10E: Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation. exy+x2y2=10 Problem 11E: Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation. sinx+2cos2y=1 Problem 12E: Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation (sinx+cosy)2=2 Problem 13E: Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation. cscx=x(1+tany) Problem 14E: Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation. coty=xy Problem 15E: Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation. y=sinxy Problem 16E: Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation. x=sec1y Problem 17E: Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation. x23lny+y2=10 Problem 18E: Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation. lnxy+5x=30 Problem 19E: Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation. 4x3+lny2+2y=2x Problem 20E: Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation. 4xy+lnx2y=7 Problem 21E: Finding Derivatives Implicitly and Explicitly In Exercises 27-30, (a) find two explicit functions by... Problem 22E: Finding Derivatives implicitly and Explicitly In Exercises 27-30, (a) find two explicit functions by... Problem 23E: Finding Derivatives Implicitly and Explicitly In Exercises 27-30, (a) find two explicit functions by... Problem 24E: Finding Derivatives Implicitly and Explicitly In Exercises 27-30, (a) find two explicit functions by... Problem 25E: Finding the Slope of a graph En Exercises 31-38. find dy/dx by implicit differentiation. Then find... Problem 26E: Finding the Slope of a Graph In Exercises 31-38. Find dy/dx by implicit differentiation. Then find... Problem 27E: Finding the Slope of a Graph in Exercises 31-38, find dy/dx by implicit differentiation, Then find... Problem 28E: Finding and Evaluating a Derivative In Exercises 2532, find dy/dx by implicit differentiation and... Problem 29E: Finding the Slope of a Graph En Exercises31-38. find dy/dx by implicit differentiation. Then find... Problem 30E: Finding the Slope of a Graph En Exercises31-38. find dy/dx by implicit differentiation. Then find... Problem 31E: Finding the Slope of a Graph In Exercises 31-38. find dy/dx by implicit differentiation. Then find... Problem 32E: Finding the Slope of a graph in Exercises31-38. find dy/dx by implicit differentiation. Then find... Problem 33E: Famous Curves In Exercises 39-J2, find the slope of the tangent line to the graph at the given... Problem 34E: Famous Curves In Exercises 39-42, find the slope of the tangent line to the graph at the given... Problem 35E: Famous Curves In Exercises 39-42, find the slope of the tangent line to the graph at the given... Problem 36E: Famous Curves In Exercises 39-J2, find the slope of the tangent line to the graph at the given... Problem 37E: Famous Curves In Exercises 45-48, find an equation of the tangent line to the graph at the given... Problem 38E: Famous Curves In Exercises 45-48, find an equation of the tangent line to the graph at the given... Problem 39E: Famous Curves In Exercises 3744, find an equation of the tangent line to the graph at the given... Problem 40E: Famous Curves In Exercises 3744, find an equation of the tangent line to the graph at the given... Problem 41E: Famous Curves In Exercises 45-48, find an equation of the tangent line to the graph at the given... Problem 42E: Famous Curves In Exercises 45-48, find an equation of the tangent line to the graph at the given... Problem 43E: Famous Curves In Exercises 45-48, find an equation of the tangent line to the graph at the given... Problem 44E: Famous Curves In Exercises 45-48, find an equation of the tangent line to the graph at the given... Problem 45E: Finding an Equation of a Tangent Line In Exercises 49-52, use implicit differentiation to find an... Problem 46E: Finding an Equation of a Tangent Line In Exercises 49-52, use implicit differentiation to find an... Problem 47E: Finding an Equation of a Tangent Line In Exercises 49-52, use implicit differentiation to find an... Problem 48E: Finding an Equation of a Tangent Line In Exercises 49-52, use implicit differentiation to find an... Problem 49E: Ellipse (a) Use implicit differentiation to find an equation of the tangent line to the ellipse... Problem 50E: Hyperbola (a) Use implicit differentiation to find an equation of the tangent line to the hyperbola... Problem 51E: Determining a Differentiate Function In Exercises 57 and 58. find dv/dx implicitly and find the... Problem 52E: Determining a Differentiate Function In Exercises 57 and 58. find dy/dx implicitly and find the... Problem 53E: Finding a Second Derivative In Exercises 5358, find d2y/dx2 implicitly in terms of x and y. x2+y2=4 Problem 54E: Finding a Second Derivative In Exercises 59-62, find d2/dx2 implicitly in terms of x and y. x2y4x=5 Problem 55E: Finding a Second Derivative In Exercises 5358, find d2y/dx2 implicitly in terms of x and y. x2y2=36 Problem 56E: Finding a Second Derivative In Exercises 59-62, find d2/dx2 implicitly in terms of x and y.... Problem 57E: Finding a Second Derivative In Exercises 5358, find d2y/dx2 implicitly in terms of x and y. y2=x3 Problem 58E: Finding a Second Derivative In Exercises 5358, find d2y/dx2 implicitly in terms of x and y. y3=4x Problem 59E: Tangent Lines and Normal Lines In Exercises 63 and 64, find equations for the tangent line and... Problem 60E: Tangent Lines and Normal Lines In Exercises 63 and 64, rind equations for the tangent line and... Problem 61E Problem 62E Problem 63E: Vertical and Horizontal Tangent Lines In Exercises 67 and 68, find the points at which the graph of... Problem 64E: Vertical and Horizontal Tangent Lines In Exercises 67 and 68. find (he points at which the graph of... Problem 65E: Logarithmic Differentiation In Exercises 69-80, use logarithmic differentiation to find dy/dx... Problem 66E: Logarithmic Differentiation In Exercises 6576, find dy/dx using logarithmic differentiation.... Problem 67E: Logarithmic Differentiation In Exercises 69-80, use logarithmic differentiation to find dy/dx.... Problem 68E: Logarithmic Differentiation In Exercises 69-80, use logarithmic differentiation to find dy/dx... Problem 69E: Logarithmic Differentiation In Exercises 69-80, use logarithmic differentiation to find dy/dx.... Problem 70E: Logarithmic Differentiation In Exercises 69-80, use logarithmic differential ion to find dy/dx.... Problem 71E: Logarithmic Differentiation In Exercises 69-80, use logarithmic differentiation to find dy/dx.... Problem 72E: Logarithmic Differentiation In Exercises 69-80, use logarithmic differentiation to find dy/dx.... Problem 73E: Logarithmic Differentiation In Exercises 69-80, use logarithmic differentiation to find dy/dx.... Problem 74E: Logarithmic Differentiation In Exercises 69-80, use logarithmic differentiation to find dy/dx.... Problem 75E: Logarithmic Differentiation In Exercises 69-80, use logarithmic differentiation to find dy/dx.... Problem 76E: Logarithmic Differentiation in Exercises 69-80, use logarithmic differentiation to find dy/dx.... Problem 77E: Orthogonal Trajectories In Exercises 81-84, use a graphing utility to sketch the intersecting graphs... Problem 78E: Orthogonal Trajectories In Exercises 81-84, use a graphing utility to sketch the intersecting graphs... Problem 79E: Orthogonal Trajectories In Exercises 81-84, use a graphing utility to sketch the intersecting graphs... Problem 80E: Orthogonal Trajectories In Exercises 81-84, use a graphing utility to sketch the intersecting graphs... Problem 81E: Orthogonal Trajectories In Exercises 85 and 86, verify that the two families of curves are... Problem 82E: Orthogonal Trajectories In Exercises 85 and 86, verify that the two families of curves are... Problem 84E: WRITING ABOUT CONCEPTS Implicit Differentiation In your own words, state the guidelines for implicit... Problem 85E: True or False? Determine whether the statement is true. If it is false, explain why and correct it.... Problem 86E: HOW DO YOU SEE IT? Use the graph 10 answer the questions. (a) Which is greater, the slope of the... Problem 87E: Finding Equations of Tangent Lines Consider the equation x4=4(4x2y2) (a) Use a graphing utility to... Problem 88E: Tangent Lines and Intercepts Let t. be any tangent line to the curve x+y=c. Show that the sum of the... Problem 89E: Slope Find all points on the circle x2+y2=100 where the slope is 34 Problem 90E: Proof (a) Prove (Theorem 3.3) that d/dx[xn]=nxn1 for the case in which r is a rational number.... Problem 91E: Tangent Lines Find equations of both tangent lines to the graph of the ellipse x24+y29=1 that pass... Problem 92E: Normals to a Parabola The graph shows the normal lines from the point (2, 0) lo the graph of the... Problem 93E: Normal Lines (a) Find an equation of the normal line to the ellipse x232+y28=1 at the point (4, 2).... format_list_bulleted