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Worksheet Multiple Choice. Encircle the CAPITAL LETTER of the correct answer. 1. What is the derivative of a constant function? A. I()=0 C. f'(x) = constant B. "(x) = undefined D. '(X)- 2. What is the derivative of [(x) - 17? A. [(x)=0 C. f'(x) = 17 C. r(x) - D. r(X) - -17 3. What is the derivative of f(x) = - 8x+15? A r(x) - 15 C. f'(x) - 8 B. f'(x) = 1 D. "(x) - -8 4. What is the derivative of ((x) - 9x3+5x-197 A. f'(x) = 18x+5 C. " (x) = 18x - 5 B. ('(x) = 18x+19 D. f'(x) = 18x' -5x 5. What is the derivative of f(x) - 2x - x' +x$7 A. f'(x) = 2x - 2x' +3x* c. " (x) - 2x -3x3 +3x* B. ('(x) = 2-2x +5x4 D. f (x) = 2- 2x -3x4 6. What is the derivative of fix) = 2x - 97 A. fix ) = 12x C. f'(x) - 12x B. f'(x ) = 12x" D. f'(x) = 12x -9 What is the derivative of f(x) = x"7 A. f'(x ) = 15x12 C. "(x ) - 15x14 B. f'(x ) = 15x15 D. f (x ) = 15x15 8. What is the best differentiation rule to be used to determine g '(x) = (7x2 + 8)' (3x2 - 5x)4? A. Power Rule C. Quotient Rule B. Chain Rule D. Product Rule 9. What is the derivative of fix) = 2x"? A. 18x C. 18x B. 2x* D. 2x A. 24 10. What is the linear coefficient of the derivative of ((x) = 2x*+7x*- 24x+ 2235? B. -24 C. 24x D. -24x A. x-+4x -4 1 1. What is the derivative of the second function expanded when 1(x) = = is differentiated? B. 2x--4x +4 C. 4x3- 4 D. x2 -4x -4 chain rule? 12. What is the slope of the inner function when ((x) - (9x2 - 25)is differentiated using the A. 18x B. - 18x C. 18x* D. 18x2 13. What is the derivative of f(x) = 2x - x' +x3? A. f'(x ) = 2-2x +3x- C. f'(x ) = 2-2x3+3x" B. f'(x ) = 2-2x +3x3 D. f'(x ) = 2+2x +3x? 14. What is the derivative of the outer function when f(x) = (2x - 9)5 is differentiated using the chain rule? A. f'(x ) = 5(2x2 - 9)' C. f'(x ) = 5(2x2 - 9)4 B. ('(x) = 5(2x) - 9) D. f'(x) = 5(2x2 - 9)5 15. What is the most appropriate rule to be used to differentiate f(x) = (7x2 + 8) (3x2 - 5x + 6)-2 A. Power Rule C. Quotient Rule B. Chain Rule D. Product Rule