Problem Eight: 2000-2001

  Calculus I (AB) and Calculus II (BC): Derivatives with Unknown Functions

If f and g are continuous and differentiable functions such that f, g, f ', and g' have the following values at x = 2
Find the derivative of each of the following, and evaluate it for x = 2:
Difficulty Rating: 

Solution:
You'll have to use the product rule on parts (b) and (e), whereas part (c) requires the quotient rule, and (d) and (e) both need the chain rule.
You cannot simplify (d) any further since you do not know the value of f ' (1).


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