How To Understand Derivatives: The Product, Power & Chain Rules

It finally clicked! I always wondered why we used the technique of power rule or what is actually happening when we are using the product rule but could never find explanation …Thank You so much. Btw how did you come up with this intuition or realization of the inner mechanisms of the power rule. I would like to learn your thought process. Thank You

Thanks tsho, glad it helped! For the intuition, I keep trying different analogies until one clicks. I have more about my approach here: http://betterexplained.com/articles/adept-method/