horizontal-tangent-lines-and-differentiation

I explain how to find the domain values where a curve has a slope of zero using the first derivative. I also explain how we can look at the sign changes of the first derivative to identify relative maximums and minimums.

ERROR NOTICE: In the last example I only did solutions for x restricted to [0,2pi). Without this restriction the solutions should have been expanded to include all possible solutions. x=π/2+nπ, π/6+2nπ and 5π/6+2nπ.

Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at http://www.mathplane.com

Tagged under: Horizontal,tangent,line,lines,derivative,derivatives,relative,maximum,minimum,slope,Tarrou,tarrou',chalk,talk,profrobbob,math,examples,education,calculus,horizontal tangent line,horizontal tangent lines

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