Question: 1. Consider the function f(x) = ( 5 x ) / ( ( x 2 ) 1 ) a) Determine x- and y-intercepts b) Determine

1. Consider the function f(x) = (5x)/((x2)1)

a) Determine x- and y-intercepts

b) Determine any vertical and horizontal asymptotes.

c) Complete the first derivative test.

d) Complete the second derivative test.

e) Graph the function (paper and pencil method).

2. Find the equation of the line tangent to the curve

y=2(x2)+sin4x at x=pi/3

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