How do I explain to someone that
y=1/(x^2) has no horizontal tangents
Stacey Warren - Expert brainly.com
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I told the tadpole to take the derivative of the function
I told the tadpole that if you set it equal to zero, you can't solve that function
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need help here at the school of frogs
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
Thanks my tadpole is annoying (ok this one is really mine)
Thanks alot Jim