📓Differentiation Power Rule Binomial Theorem PROOF problem ! ! ! ! !

BASIC DERIVATIVE RULES PLAYLIST: https://www.youtube.com/playlist?list=PLP9dm1wIxfZe2MomEOspfDaF9duE3QORe ___________ DIFFERENTIATION PLAYLIST: https://goo.gl/z7sJ9o ___________ In this video you will learn how to Derive (or prove) the Power Rule of Differentiation f'(x)=nx^(n-1) by using Binomial Theorem and Limit Definition of Derivative. 0:31 Limit Definition of Derivative 0:56 Binomial Theorem for f(x+h) component of Limit Definition 5:08 Plugging in terms for f(x+h) into the Limit Definition - simplifying the terms 9:47 Letting h=0 to derive Power Rule f'(x)=nx^(n-1) Related Videos to this topic: Linear Approximation: Sine values https://youtu.be/uHdUL8-PHH8 Derivative: Quotient Rule (2 methods) f(x)=x^2/(1+x) https://youtu.be/YgU1duxkHZ8 Derivative: Chain Rule (2 methods) f(x)=(1-5x)^6 https://youtu.be/nFQ341J9mnY Derivative: Power & Product Rules f(x)=x^5+5x^4-10x^2+6 https://youtu.be/FPGLHrCOd5Q Derivative: Limit Definition f'(x)=lim [f(x+h)-f(x)]/h h→0 https://youtu.be/P0NLPxm-Mnc ______________________ CALCULUS PLAYLIST: https://goo.gl/sw5cj5