(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

1. Show that there are no tangents to the graph of [tex]f(x) = \frac{5x+2}{x+2}[/tex] that have a negative slope.

2. Determine the equation of the tangent to the curve [tex]y = \frac{x^{2}-1}{3x}[/tex] at x = 2

2. Relevant equations

1. Our teacher told us not to use the quotient rule because it is not in our curriculum so please do not give me a solution using the quotient rule. Thanks.

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# How to show non-negative tangents ?

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