Tangency of Two Curves

Rarely Tested

Tangency of Two Curves

Two curves:

$$y=f(x)$$

and:

$$y=g(x)$$

are tangent at $$x=a$$ if:

$$f(a)=g(a)$$

and:

$$f'(a)=g'(a)$$

Usage

- Used to find parameters for which two curves touch at a point.

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