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precal

  • one year ago

How do I explain to someone that y=1/(x^2) has no horizontal tangents

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  1. precal
    • one year ago
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    I told the tadpole to take the derivative of the function

  2. precal
    • one year ago
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    I told the tadpole that if you set it equal to zero, you can't solve that function

  3. precal
    • one year ago
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    @satellite73

  4. precal
    • one year ago
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    need help here at the school of frogs

  5. jim_thompson5910
    • one year ago
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    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

  6. precal
    • one year ago
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    Thanks my tadpole is annoying (ok this one is really mine) Thanks alot Jim

  7. jim_thompson5910
    • one year ago
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    no problem

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