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 Author Comment/Response Josh Gray 05/25/12 1:10pm I have the function: ff[x_] := (Sin[x] + Tanh[x])/(1 + Sin[x] Tanh[x]) And I want to plot, find, and give the exact values of the intervals where the function is decreasing/increasing. This is what I did to start, first I took the derivative, then plotted: In :D[ff[x], x] Out: -(((Sin[x] + Tanh[x]) (Sech[x]^2 Sin[x] + Cos[x] Tanh[x]))/(1 + Sin[x] Tanh[x])^2) + (Cos[x] + Sech[x]^2)/(1 + Sin[x] Tanh[x]) In: Plot[-(((Sin[x] + Tanh[x])*(Sech[x]^2*Sin[x] + Cos[x]*Tanh[x]))/(1 + Sin[x]*Tanh[x])^2) + (Cos[x] + Sech[x]^2)/(1 + Sin[x]*Tanh[x]), {x, -12, 12}, PlotRange -> {-.05, .05}] Now I fun into how to place intervals of maybe colored lines on my graph to match where it is increasing/decreasing. Also I am not sure of any commands where I could pump out exact values where this is happening, help please? Some good explanation would be the most helpful maybe walking me like a baby through its first steps! This is due to me being new to mathematica URL: ,

 Subject (listing for 'Finding interval of increasing/decreasing') Author Date Posted Finding interval of increasing/decreasing Josh Gray 05/25/12 1:10pm Re: Finding interval of increasing/decreasing Michael 05/26/12 7:12pm
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