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Tangency of a Line and a Curve
For a line:
$$y=mx+c$$
to be tangent to:
$$y=f(x)$$
at $$x=a$$:
$$m=f'(a)$$
and:
$$c=f(a)-af'(a)$$
Usage
- Used to determine the equation or parameters of a tangent line to a curve.
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Tangency of a Line and a Curve
For a line:
$$y=mx+c$$
to be tangent to:
$$y=f(x)$$
at $$x=a$$:
$$m=f'(a)$$
and:
$$c=f(a)-af'(a)$$
Usage
- Used to determine the equation or parameters of a tangent line to a curve.
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