precal
  • precal
How do I explain to someone that y=1/(x^2) has no horizontal tangents
Mathematics
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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precal
  • precal
How do I explain to someone that y=1/(x^2) has no horizontal tangents
Mathematics
katieb
  • katieb
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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precal
  • precal
I told the tadpole to take the derivative of the function
precal
  • precal
I told the tadpole that if you set it equal to zero, you can't solve that function
precal
  • precal

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precal
  • precal
need help here at the school of frogs
jim_thompson5910
  • jim_thompson5910
That explanation works. Show that dy/dx = 0 has no solutions In an informal way you could explain it like this The graph of 1/(x^2) gets closer and closer to the x axis as x gets larger. It never hits the x axis. If you had a horizontal tangent, then that would either imply you have a flat part or a turning point. You can't have a flat part because it keeps getting closer and curving to the x axis. You can't have a turning point because again, it's getting closer and not turning away
precal
  • precal
Thanks my tadpole is annoying (ok this one is really mine) Thanks alot Jim
jim_thompson5910
  • jim_thompson5910
no problem

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