Product and Quotient Rules & Higher Order Derivatives
Is the derivative of a product of two functions equal to the product of the
derivatives? [As was the case with sums or differences of functions]
Product Rule: If f and g are differentiable functions,
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The Chain Rule
So far we have taken derivatives of functions with
> a constant factor
» certain functions (basic trig functions, BI)
> a sum of functions
-> a difference of functions
? a product of inctions
> a quotient of functions
Now we will take the
Derivatives of Inverse Functions
Theorem: Let f be a function whose domain is an interval I. If f has an
inverse function, then the following is true:
1) If f is continuous on its domain, then f 1 is continuous on its domain.
2) Iff i