Enter the value of X and the value of A of the cubic curve into the calculator to determine the tangent slope – MPQ.

MPQ Formula

The following equation is used to calculate the slope of a tangent line along a cubic curve.

MPQ = (X^3 - a^3) / (x-a) 
  • Where MPQ is the slope
  • x are any points along the cubic curve
  • a are points along a tangent line to the curve at x

How to Calculate MPQ?

Example Problem:

The following example outlines the steps and information needed to calculate MPQ.

First, determine the value of X. In this example, X will be 5.

Next, determine the value of a. In this case, the value of a will be 3.

Finally, calculate the MPQ using the formula above:

MPQ = (X^3 – a^3) / (x-a)

MPQ = (5^3 – 3^3) / (5-3)

MPQ = 49/1