Tangency of a Curve to the x-Axis

Rarely Tested

Tangency of a Curve to the x-Axis

If a curve:

$$y=f(x)$$

touches the $$x$$-axis at $$x=a$$, then:

$$f(a)=0$$

and for a differentiable curve:

$$f'(a)=0$$

Usage

- Used to identify points where a curve is tangent to the x-axis.

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