 3.7.1: For Exercises 121, find dy/dx. Assume a, b, c are constantsx2 + y2 = 7
 3.7.2: For Exercises 121, find dy/dx. Assume a, b, c are constants. x2 + y...
 3.7.3: For Exercises 121, find dy/dx. Assume a, b, c are constantsx2 + xy ...
 3.7.4: For Exercises 121, find dy/dx. Assume a, b, c are constantsx2 +y2 +...
 3.7.5: For Exercises 121, find dy/dx. Assume a, b, c are constantsxy + x +...
 3.7.6: For Exercises 121, find dy/dx. Assume a, b, c are constantsx2y 2y +5=0
 3.7.7: For Exercises 121, find dy/dx. Assume a, b, c are constantsx2y3 xy = 6
 3.7.8: For Exercises 121, find dy/dx. Assume a, b, c are constantsx = 5y
 3.7.9: For Exercises 121, find dy/dx. Assume a, b, c are constantsx + y = 25
 3.7.10: For Exercises 121, find dy/dx. Assume a, b, c are constantsxy x 3y 4=0
 3.7.11: For Exercises 121, find dy/dx. Assume a, b, c are constants6x2 + 4y...
 3.7.12: For Exercises 121, find dy/dx. Assume a, b, c are constantsax2 by2 ...
 3.7.13: For Exercises 121, find dy/dx. Assume a, b, c are constantsln x + l...
 3.7.14: For Exercises 121, find dy/dx. Assume a, b, c are constantsx ln y +...
 3.7.15: For Exercises 121, find dy/dx. Assume a, b, c are constantssin(xy)=...
 3.7.16: For Exercises 121, find dy/dx. Assume a, b, c are constantsecos y =...
 3.7.17: For Exercises 121, find dy/dx. Assume a, b, c are constantsarctan(x...
 3.7.18: For Exercises 121, find dy/dx. Assume a, b, c are constantsex2+ ln ...
 3.7.19: For Exercises 121, find dy/dx. Assume a, b, c are constants(x a)2 +...
 3.7.20: For Exercises 121, find dy/dx. Assume a, b, c are constantsx2/3 + y...
 3.7.21: For Exercises 121, find dy/dx. Assume a, b, c are constantssin(ay) ...
 3.7.22: In Exercises 2225, find the slope of the tangent to the curveat the...
 3.7.23: In Exercises 2225, find the slope of the tangent to the curveat the...
 3.7.24: In Exercises 2225, find the slope of the tangent to the curveat the...
 3.7.25: In Exercises 2225, find the slope of the tangent to the curveat the...
 3.7.26: For Exercises 2630, find the equations of the tangent lines tothe f...
 3.7.27: For Exercises 2630, find the equations of the tangent lines tothe f...
 3.7.28: For Exercises 2630, find the equations of the tangent lines tothe f...
 3.7.29: For Exercises 2630, find the equations of the tangent lines tothe f...
 3.7.30: For Exercises 2630, find the equations of the tangent lines tothe f...
 3.7.31: (a) Find dy/dx given that x2 + y2 4x + 7y = 15.(b) Under what condi...
 3.7.32: (a) Find the slope of the tangent line to the ellipsex225 + y29= 1 ...
 3.7.33: Find the equations of the tangent lines at x = 2 to theellipse(x 2)...
 3.7.34: (a) Find the equations of the tangent lines to the circlex2 + y2 = ...
 3.7.35: (a) If x3 + y3 xy2 = 5, find dy/dx.(b) Using your answer to part (a...
 3.7.36: Find the equation of the tangent line to the curve y = x2at x = 1. ...
 3.7.37: At pressure P atmospheres, a certain fraction f of a gasdecomposes....
 3.7.38: Sketch the circles y2 + x2 = 1 and y2 + (x 3)2 = 4.There is a line ...
 3.7.39: If y = arcsin x then x = sin y. Use implicit differentiationon x = ...
 3.7.40: Show that the power rule for derivatives applies to rationalpowers ...
 3.7.41: For constants a, b, n, R, Van der Waals equation relatesthe pressur...
 3.7.42: In 4243, explain what is wrong with the statement.If y = sin(xy) th...
 3.7.43: In 4243, explain what is wrong with the statement.The formula dy/dx...
 3.7.44: A formula for dy/dx leading to a vertical tangent aty = 2 and a hor...
 3.7.45: A curve that has two horizontal tangents at the same xvalue,but no ...
 3.7.46: True or false? Explain your answer: If y satisfies theequation y2 +...
Solutions for Chapter 3.7: IMPLICIT FUNCTIONS
Full solutions for Calculus: Single and Multivariable  6th Edition
ISBN: 9780470888612
Solutions for Chapter 3.7: IMPLICIT FUNCTIONS
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Since 46 problems in chapter 3.7: IMPLICIT FUNCTIONS have been answered, more than 43286 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. Chapter 3.7: IMPLICIT FUNCTIONS includes 46 full stepbystep solutions.

Absolute value of a complex number
The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

Angle of depression
The acute angle formed by the line of sight (downward) and the horizontal

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

Completing the square
A method of adding a constant to an expression in order to form a perfect square

Compound fraction
A fractional expression in which the numerator or denominator may contain fractions

Dot product
The number found when the corresponding components of two vectors are multiplied and then summed

Equally likely outcomes
Outcomes of an experiment that have the same probability of occurring.

Graph of an equation in x and y
The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

Inverse secant function
The function y = sec1 x

Linear function
A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

Main diagonal
The diagonal from the top left to the bottom right of a square matrix

Midpoint (in a coordinate plane)
For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

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

Principle of mathematical induction
A principle related to mathematical induction.

Random numbers
Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

Symmetric about the yaxis
A graph in which (x, y) is on the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ?, ?) is on the graph whenever (r, ?) is

Variation
See Power function.

Work
The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.

Xmin
The xvalue of the left side of the viewing window,.

zaxis
Usually the third dimension in Cartesian space.