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Select the most appropriate answer for each question. 1. The derivative of a function fin terms of a limit is defined by which of the
Select the most appropriate answer for each question. 1. The derivative of a function fin terms of a limit is defined by which of the following? lim f(h) -f(x) a) h +0 h lim f(x +h)-f(x) b) x-wh h f(x)-f(a) c) lim X-a X lim f(x +h)-f(x) d) h 2. The derivative can be used to find the: a) point of intersection. b) common factors. c) instantaneous rate of change. d) Both b and c are correct. 3. A notation for derivative is: a) f d(x) dy b) dx c) f(x) d) lim4. What is the derivative of h(x) = 42x ? a) 0 b) 42 c) X d) 42x 5. What is f(x) of the function, f(x) = =x3 - 3x2 - 2x + 5 ? a) x3 - x2+ 2 b) x - x+1 c) x-x - 2 d) - x3 - 1x2 + 2x 6. The function f(x) = V/x' can be rewritten as: a) f(x) = x5 b ) f ( x ) = x 3 c) f( x ) = x 5 d) f(x ) = x 3 7. Which rule would you use to differentiate f(x) = cos(3x)? a) Sum rule b) Difference rule c) Product rule d) Chain rule 8. What is the derivative of y = -cos(x)? a) -sin(x) b) -cos(x) c) sin(x) d) cos(x)
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