If [tex]f(x)=x^3-6x+c_2[/tex] and I know that [tex]y=5-3x[/tex] is tangent at the point where x=1,(adsbygoogle = window.adsbygoogle || []).push({});

then I can say that at x=1 [tex]f(x)=x^3-6x+c_2|_{x=1}=5-3x.[/tex]

Right? and then I can solve for [tex]c_2[/tex]

I am getting the correct answer to my text problem, but I want to be sure that it is because my reasoning is correct.

Casey

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