Write the equation of the curve on a piece of paper. For example, the equation 6X^2 + 10X + 2 = 0 would give us a curve.
Eliminate any constants from the equation, and then rewrite it without the constants. In our example, this would mean removing the lone 2 and rewriting it as 6X^2 + 10X = 0.
Take any powers out of the equation, and place them in front of the term they were attached to as a multiplier instead of a power. So, our example has now turned into 2(6X) + 10 = 0.
Insert the "X" value of any point on the curve into your new function, and solve it to obtain the slope at that point on the curve. In our example, the point (2, 1) on the curve would result in the following equation: 2(6(2)) + 10 = 34. So, our slope at the point (2, 1) would be equal to 34.