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Use the values in the table below to answer each of the following:
a. Let p(x) = f(x) g(x)
Find p '(1) =
Does p(x) have a horizontal tangent at x = 1?
b. Let y (x) = f(g(x)).
Find the slope of y(x) at x = 1.
Find the equation of the tangent line to y(x) at x = 1. Use y for the dependent variable.
c. Let v(x) = (f(x))2.
Find the value of v'' (1).
Is v(x) concave up or concave down at x = 1?
(d) Let r(x) = g(x) / x3
Find the exact value of r '(2).
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