Base Case:
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Note :
– This is the case where a is any number raised to the x .
– It is the more general case of the special case.
– Keep in mind that as soon as whatever is inside the function, inside the parenthesis, is more than just your basic x , the problem’s primary rule becomes a chain rule. Whatever you replace the x with inside your base special case will become the inside piece of your chain rule.
– Also, when you apply the chain rule, everywhere you see an x in the equations above, you will plug in the full inside piece.
– You will need to know this table equally as well in both directions, left to right and right to left.