The equation of tangent

I read this somewhere recently that equating the lowest degree terms of a polynomial equation gives us the equation of the tangent(s) of the curve at the origin. But there are a lot of assumptions here. I don't really understand how this works. Can someone explain this or maybe give a link to the solution? It would be very helpful.

#Calculus

Easy Math Editor

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You will need to be more specific as to what you are talking about. Show an example if you can.

A Former Brilliant Member - 2 years, 8 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$