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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

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