63 Proucts an Quotients (13051836) Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Instructions Rea toay's Notes an Learning Goals. 1. Question Details fa15 62 chain 1 [3420817] Fin all the following basic erivatives. Any letter other than x is a constant. This is a complete list of the basic erivatives covere so far. x x x x x x C x n e x sin(x) cos(x) ln(x) 2. Question Details fa15 63 pro rule 1 [3422675] Follow the steps to fin the erivative of the function f(x) x 2 ln(x) a. Ientify this function as a prouct of two functions. Left Factor: u x 2 Right factor: v ln(x) b. Fin the erivative of each factor. u x v x c. Use the prouct rule x u v u v v + u x x to fin the erivative of the prouct. x x 2 ln(x)
3. Question Details fa15 63 pro rule 2 [3422677] Follow the steps to fin the erivative of the function f(x) (3x x 2 )e 5x a. This function is a prouct of two functions. Ientify the left an right factors. Left Factor: u Right factor: v Note: In this problem you must use the Left an Right factors base on how the function is written above. In general you can ientify the factors in any orer. b. Fin the erivative of each factor. u x v x c. Use the prouct rule x u v u v v + u x x to fin the erivative of the prouct. x (3x x 2 )e 5x 4. Question Details fa15 63 pro rule 3 [3422710] Follow the steps to fin the erivative of the function f(x) e 0.1x cos(1.3x + 2.7) a. This function is a prouct of two functions. Ientify the left an right factors. Left Factor: u Right factor: v Note: In this problem you must use the Left an Right factors base on how the function is written above. In general you can ientify the factors in any orer. b. Fin the erivative of each factor. u x v x c. Use the prouct rule x u v u v v + u x x to fin the erivative of the prouct. x e 0.1x cos(1.3x + 2.7)
5. Question Details fa15 63 pro rule 4 [3422723] Use the prouct rule to fin the following erivative. x (3x 2 7x + 2)(5x 11x 3 ) 6. Question Details fa15 63 pro rule 6 [3422726] Use the prouct rule to fin the following erivative. x x 5 ln(x) 7. Question Details fa15 63 pro rule 5 [3422724] Use the prouct rule to fin the following erivative. A an k are constants. x Axe kx 8. Question Details fa15 63 quotient rule 1 [3422729] Follow the steps to fin the erivative of the function f(x) tan(x) sin(x) cos(x) a. Ientify this function as a quotient of two functions. Numerator (Top): u sin(x) Denominator (Bottom): v cos(x) b. Fin the erivative of each, the numerator an the enominator. u x v x c. Use the quotient rule x u v to fin the erivative of the quotient. u v v u x x v 2 x tan(x). Simplify your answer using basic trigonometric ientities. x tan(x)
9. Question Details fa15 63 quotient rule 2 [3422730] Follow the steps to fin the erivative of the function f(x) 150e0.1x 3 + e 0.1x a. This function is a quotient of two functions. Ientify the numerator an enominator. Numerator (Top): u Denominator (Bottom): v b. Fin the erivative of each, the numerator an the enominator. u x v x c. Use the quotient rule x u v to fin the erivative of the quotient. u v v u x x v 2 x 150e 0.1x 3 + e 0.1x 10. Question Details fa15 63 quotient rule 3 [3422735] Follow the steps to fin the erivative of the function f(x) ln(x) x 3 a. This function is a quotient of two functions. Ientify the numerator an enominator. Numerator (Top): u Denominator (Bottom): v b. Fin the numerator an enominator erivatives. u x v x c. Use the quotient rule x u v to fin the erivative of the quotient. u v v u x x v 2 x ln(x) x 3
11. Question Details fa15 63 quot rule 4 [3422736] Use the quotient rule to fin the following erivative. x x 2 9 + x 2 12. Question Details fa15 63 quot rule 5 [3422786] Use the quotient rule to fin the following erivative. x cos(x) cot(x) x sin(x) Warning! You must simplify your answer using basic trigonometric ientities to get it marke correct. 13. Question Details fa15 63 quot rule 6 [3422793] Use the quotient rule to fin the following erivative. Any letter other than x is constant. x ax + b a 2 x 2 + b 2 14. Question Details fa15 63 choose rule 1 [3422798] Consier the function f(x) x 2 e x a. Which of the following erivative rules is appropriate? Prouct Rule b. Fin the erivative of this function. f '(x) 15. Question Details fa15 63 choose rule 2 [3422799] Consier the function f(x) 9 x 2 a. Which of the following erivative rules is appropriate? Prouct Rule b. Fin the erivative of this function. f '(x)
16. Question Details fa15 63 choose rule 3 [3422800] Consier the function f(x) 20sin(3x) 1 + x 2 a. Which of the following erivative rules is appropriate? Prouct Rule b. Fin the erivative of this function. f '(x) 17. Question Details fa15 63 choose rule 4 [3422801] Consier the function f(x) x ln(x) a. Which of the following erivative rules is appropriate? Prouct Rule b. Fin the erivative of this function. f '(x) 18. Question Details fa15 63 choose rule 5 [3422893] Consier the function f(x) sin(1 2x) a. Which of the following erivative rules is appropriate? Prouct Rule b. Fin the erivative of this function. f '(x)
19. Question Details fa15 63 choose rule 6 [3422894] Consier the function f(x) x 2 cos(x) a. Which of the following erivative rules is appropriate? Prouct Rule b. Fin the erivative of this function. f '(x) 20. Question Details fa15 63 choose rule 7 [3422895] Consier the function f(x) ln(x+1) (2 3x) 2 a. Which of the following erivative rules is appropriate? Prouct Rule b. Fin the erivative of this function. f '(x) 21. Question Details fa15 63 pro or quot rule ranom 1 [3422715] Fin the following erivative. x sin(13 + 6x) ln(19 + 6x 2 ) 22. Question Details sp15 erivative review 10 [3298270] Fin the following erivative. Assume any letter except x is constant. x Asin(kx) B 2 + x 2 Assignment Details Name (AID): 63 Proucts an Quotients (13051836) Submissions Allowe: 100 Category: Homework Coe: Locke: Yes Author: Bullock, Doug ( bullock@boisestate.eu ) Last Save: Sep 21, 2018 01:12 PM MDT Group: BSU Calculus Feeback Settings Before ue ate Question Score Assignment Score Publish Essay Scores Question Part Score Mark A Practice Button
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