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The Chain rule is given by: d[f(g(x))]/dx = f'(g(x)).g'(x)
In this class, we see the chain rule applied in three ways to get the following:
a) d/dx[u(x)n] = n(u(x))n-1u'(x)
b) d/dx[eu(x)] = u'(x)eu(x)
c) d/dx [ln(u(X))] = u'(x)/u(x)
1. Give an example of each of the three formulas above.
2. Explain how each one follows from the general chain rule. What is f(x) and what is g(x) in each of the formulas?
What ticket price (rounded to two decimal places) would make it a fair game? Would you choose to play the game? In complete sentences, explain why or why not.
Please note: for this discussion question, please solve your rational expression example to demonstrate how it yields zero in the denominator.
An installation technician for a specialized communication system
Grocery store receipts show that customer purchases have a skewed distribution with a mean of $32 and a standard deviation $20.
Sketch R. Label any assymptotes and zeros. An exponentially growing population of bunnies has a population A What is the doubling time of the population
normal 0 false false false en-in x-none x-none
A 112 ft tower is located on the side of a mountain that is inclined 20° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 72 ft downhill from the base of the tower. Find the shortest length of wire ne..
Points A and B move along the x- and y-axes, respectively, in such a way that the perpendicular distance r from the origin to AB remains constant. How fast is OA changing, and is it increasing or decreasing, when OB=2r and B is moving toward O at ..
How may switches of each type should be produced in order to maximize profit? What is the maximum profit?
gina sam and robby all rented movies from the same video store. they each rented some dramas comedies and
the financial statements for a company included the following informationcommon stocknbsp1750000nbspretained
1. Let v be a vector from initial point P1=(-11,-12) to terminal point P2 =(2,5). Write v in terms of i and j. 2. Let u=8i - 6j and v= -5i + 8j. find the vector u - v.
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