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Derivative - Increment Method

__Category__: Differential Calculus

"Published in Suisun City, California, USA"

Find the derivative of the given equation using the Increment Method:

__Solution:__

This is the original method in finding the derivative of any equations using the Increment Method. If you know already the List of Formulas to find a derivative of a certain equation, then you can use it. If you don't remember the formulas, then you have to use the Increment Method and it is a long process to do it. Well, for the Increment Method, you have to substitute x with x + Δx and substitute y with y + Δy,

Subtract the given equation from the above equation, we have,

Get the Least Common Denominator (LCD) of the two terms of the right,

Simplify the above equation,

Divide both sides of the equation by Δx,

Therefore,

The above equation can be written as