Calculus: Derivatives Help?

Posted on 2015-10-16 06:56:00 in Math by MARK AUSTIN

I was working on a calculus problem and came across a point of confusion. This is what the problem asks.

1. Let f(x)= (x^2+4)/(x)

a. Find the zeros of f(x)
*My answer is no zeros available
b. Calculate f'(x) (The derivative)
*My answer is -4x^-2+1
c. Determine those points where f has a horizontal tangent.
*I think the answer is -1,1
d. Write an equation of the line tangent to the graph of f at the point where x = 1
*No clue
f. Find the x-coordinates of each point at which the line tangent to the graph of f(x) is parallel to the line y=-3x-1
*No clue yet again

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