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# 2nd Degree Polynomial Tangent Line

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Equation / Last modified by KurtHeckman on 2018/06/07 16:03
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The **Tangent Line of a Second Degree Polynomial** calculator computes the tangent line for a second degree polynomial (y = a•x²+b•x +c).

**INSTRUCTIONS**: Enter the following:

**a**- the multiplicative constant for the**x²**term**b**- the multiplicative constant for the**x**term**c**- constant term

**Tangent Line: **The calculator returns the equation of the tangent line.

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#### The Math / Science

The tangent line of a second degree polynomial is the first derivative. Where:

y = a X² + b X + c

and the derivative of the second degree polynomial is:

y' = 2aX + b