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are varied: Calculus, Algebra, Differential Equations, etc.
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Problem 1. Compute the derivative of the function
Solution. We compute the derivative using the Quotient
Rule. Notice that
We could try to keep simplifying, but it'snot clear if we could make
it more compact, so we just leave it like that.
Problem 2. Differentiate the function
Solution. We are going to use use the Product Rule,
Here we are using a generalized version of the Product Rule for
Pretty easy to remember, uh? Let's now come back to our example.
Using the previous equality yields
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