Calculus For The Life Sciences 2nd Edition
ISBN: 9780321964038
Author: GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher: GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
P Prerequisite Skills Diagnostic Test R Algebra Reference 1 Functions 2 Exponential, Logarithmic, And Trigonometric Functions 3 The Derivative 4 Calculating The Derivative 5 Graphs And The Derivative 6 Applications Of The Derivative 7 Integration 8 Further Techniques And Applications Of Integration 9 Multivariable Calculus 10 Matrices 11 Differential Equations 12 Probability 13 Probability And Calculus 14 Discrete Dynamical Systems Chapter6: Applications Of The Derivative
6.1 Absolute Extrema 6.2 Applications Of Extrema 6.3 Implicit Differentiation 6.4 Related Rates 6.5 Differentials: Linear Approximation 6.CR Chapter 6 Review 6.EA Extended Application A Total Cost Model For A Traning Program Section6.3: Implicit Differentiation
Problem 1YT: Find dydx if x2+y2=xy. Problem 2YT Problem 3YT: Your Turn The graph of y4x4y2+x2=0 is called the devils curve. Find the equation of the tangent line... Problem 1E Problem 2E Problem 3E: Find dydxby implicit differentiation for the following. 8x210xy+3y2=26 Problem 4E Problem 5E Problem 6E Problem 7E Problem 8E Problem 9E: Find dy/dxby implicit differentiation for the following. 2x+4y=5y Problem 10E: Find dy/dxby implicit differentiation for the following. 4x8y=6y3/2 Problem 11E Problem 12E Problem 13E Problem 14E: EXERCISES Find dy/dxby implicit differentiation for the following. x2ey+y=x3 Problem 15E: Find dy/dxby implicit differentiation for the following. x+lny=x2y3 Problem 16E Problem 17E: EXERCISES Find dy/dxby implicit differentiation for the following. sin(xy)=x Problem 18E Problem 19E: EXERCISES Find the equation of the tangent line at the given point on each curve. x2+y2=25;(3,4) Problem 20E Problem 21E Problem 22E Problem 23E Problem 24E Problem 25E Problem 26E Problem 27E: Find the equation of the tangent line at the given point on each curve. ln(x+y)=x3y2+ln(x2+2)4;(1,2) Problem 28E Problem 29E Problem 30E Problem 31E Problem 32E Problem 33E Problem 34E Problem 35E Problem 36E Problem 37E: Information on curve in Exercise 37-40, as well as many other curves, is available on the Famous... Problem 38E: Information on curve in Exercise 37-40, as well as many other curves, is available on the Famous... Problem 39E Problem 40E Problem 41E Problem 42E Problem 43E Problem 44E Problem 45E Problem 46E Problem 47E: Biochemical Reaction A simple biochemical reaction with three molecules has solution that oscillate... Problem 48E: Species The relationship between the number of species in a genus x and the number of genera y... Problem 49E Problem 50E Problem 51E Problem 52E Problem 53E Problem 8E
Direction: Implicit Differentiation
Transcribed Image Text: 4. x²y² = x² + y²
5. x cos y y sec x = 1
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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