posted by Kim

1. Determine the slope of the tangent to the graph of y=4/x at (1,4)

my answer is -4

2.What is the slope of the line perpendicular to y=(x-2)/(x+2) at (2,0)

my answer is -4

3. For which value of x is the derivative of f(x)=(x-1)^10(x+2)^5 equal to 0?

my answer is 1

1. Reiny

1st two are corrrect

#3.
my derivative was
f ' (x) = 15(x+1)(x-1)^9 (x+2)^4
= 0 for

x = -1, 1, -2

verify at Wolfram
http://www.wolframalpha.com/input/?i=plot+y+%3D+%28x-1%29%5E10%28x%2B2%29%5E5

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