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Computing Derivatives

Computing Derivatives

Computing Derivatives: Embrace Your Inner Calculator True or False

1. Let f(x) = 4g(x). If g ' (x) = 2x, what is the derivative of f(x)?

-> f ' (x) = 2x

2. Which of the following expressions is not equivalent to the others? -> (log3 x)2

3. Find the derivative of f(x) = log7 x + 7x. ->

4. Find the derivative of f(x) = logx – cos x. ->

5. The "product rule" states that the derivative of the function f · g is -> f 'g + fg '

6. Find the derivative of f(x) = sin x cos x.

-> sin2 x

7. The "quotient rule" states that the derivative of the function  is equal to


8. Find the derivative of the function   


9. The derivative of cot x is

-> csc2 x

10. Finding the derivative of the function without rewriting the function first, requires

-> one use of the product rule and two uses of the quotient rule