My teacher dun give me the Proof for Product Rule and Quotient Rule. She just asked me memorize the technique. Smart bros, pls guide me. I will also ask questions too. thanks
We resort to the limit definition of the derivative to figure this out.
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Now, we add "zero" to the numerator, particularly in the form of .
Thus, we have .
Splitting into two different fractions, we get .
We now see that we have .
Does this make sense? Do you think you can derive the quotient rule? It can be done in a similar fashion.