The function g (x)= x/(x + 1)². a) Calculate g(x), determine its sign, construct a table with the variations of g, the limits of g at the domain boundaries and in ± ∞. b) Determine the equation of the tangent line to the curve y = g (x) at x = 0. What is the position of the tangent with respect to the curve? (Subtract the 2 equations and study the sign.)
The function g (x)= x/(x + 1)². a) Calculate g(x), determine its sign, construct a table with the variations of g, the limits of g at the domain boundaries and in ± ∞. b) Determine the equation of the tangent line to the curve y = g (x) at x = 0. What is the position of the tangent with respect to the curve? (Subtract the 2 equations and study the sign.)
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.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 4CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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The function g (x)= x/(x + 1)².
a) Calculate g(x), determine its sign, construct a table with the variations of g, the limits of g at the domain boundaries and in ± ∞.
b) Determine the equation of the tangent line to the curve y = g (x) at x = 0. What is the position of the tangent with respect to the curve? (Subtract the 2 equations and study the sign.)
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