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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 isf'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


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