Q: Let f (x) = (x2 + 1)/(x2
Let f (x) = (x2 + 1)/(x2 + 5). Find all x such that f ‘ (x) = 0.
See AnswerQ: Find the equation of the line tangent to the graph of y
Find the equation of the line tangent to the graph of y = (x3 - 1)(x2 + 1)4 at the point where x = -1.
See AnswerQ: Find the equation of the line tangent to the graph of y
Find the equation of the line tangent to the graph of y = x – 3/√(4 + x2) at the point where x = 0.
See AnswerQ: A botanical display is to be constructed as a rectangular region with
A botanical display is to be constructed as a rectangular region with a river as one side and a sidewalk 2 meters wide along the inside edges of the other three sides. (See Fig. 1.) The area for the p...
See AnswerQ: Repeat Exercise 17, with the sidewalk on the inside of all
Repeat Exercise 17, with the sidewalk on the inside of all four sides. In this case, the 800-square-meter planted region has dimensions x - 4 meters by y - 4 meters. Exercise 17: A botanical display...
See AnswerQ: A store estimates that its cost when selling x lamps per day
A store estimates that its cost when selling x lamps per day is C dollars, where C = 40x + 30 (the marginal cost per lamp is $40). If daily sales are rising at the rate of three lamps per day, how fas...
See AnswerQ: A company pays y dollars in taxes when its annual profit is
A company pays y dollars in taxes when its annual profit is P dollars. If y is some (differentiable) function of P and P is some function of time t, give a chain rule formula for the time rate of chan...
See AnswerQ: Find a formula for d/dx f (g (x
Find a formula for d/dx f (g (x)), where f (x) is a function such that f (x) = 1/(x2 + 1). g (x) = x3
See AnswerQ: Find a formula for d/dx f (g (x
Find a formula for d/dx f (g (x)), where f (x) is a function such that f (x) = 1/(x2 + 1). g (x) = 1/x
See AnswerQ: Find a formula for d/dx f (g (x
Find a formula for d/dx f (g (x)), where f (x) is a function such that f (x) = 1/(x2 + 1). g (x) = x2 + 1
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