Finding Derivative from First Principles (Step-by-step Explanation)

How to find derivative by first principle? In this video, we will discuss how to take the derivative of a polynomial from first principles, also known as the limit definition, or the first definition. Normally, we use power rule to differentiate a polynomial function. First principle is the actual definition of differentiation in taking the derivative, and we will find the derivative of the function by using this first principle method.
FORMULA DERIVATION FOR FIRST PRINCIPLE:
• Formula Derivation for...
#derivatives #differentiation #calculus
TIMECODES
0:00 Intro
0:26 Plug in f(x+h) and f(x)
2:11 Expanding Terms
4:17 Combining Like Terms
4:42 Factorization
5:11 Solving Limit By Direct Substitution

[@aziqasri5435]

Can this be a method to prove the f'?

[@YeahMathIsBoring]

Absolutely! You can prove the derivative of f(x), which is denoted as f'(x) using the first principle of derivatives. In fact, first principle is the actual definition of differentiation, and the power rule that we normally use is actually derived from this formula.