2nd Degree Polynomial Tangent Line

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.

Related Calculators

• Second Degree Polynomial
• Tangent Line of Second Degree Polynomial
• Quadratic Equation

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