Some other derivation by first principal :

Explanation

Definition and Explanation of the Derivative by First Principle

Using algebra, we can make derivatives under the first principle to find a general expression for the slope of a curve. This process is also called as the delta method. This measure of the derivative is also a measure of the instantaneous rate of change. This form of derivative is considered to be the best possible method in deriving the solutions according to the many experts in mathematics. Algebra is a very important concept in the section of mathematics.

The mathematics section called algebra is the necessary foundation for the differential calculus. All the rules, identities, and facts actually follow this principle for the best needed mathematical expression. All the rules of the algebraic expressions, all the identities of the algebraic expressions and all the facts of the algebraic expressions are actually based and followed from this expression that is derived from above.

Derivative by First Principle

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