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SC Chain Rule (Product, quotient, trig derivatives) Flashcards | StudBud
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SC Chain Rule (Product, quotient, trig derivatives)
SC Chain Rule (Product, quotient, trig derivatives)
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A#calculus Quiz to review #chain rule, # product rule, # quotient rule, # trigonometric derivatives
Flashcards
6 cards
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Practice quiz
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Questions
6
Answers
1
Find the derivative
f’(x) = 3x2(cos(x2)) + 3sin(x2)
f’(x) = 6x2(cos(x2)) + 3sin(x2)
f’(x) = – 6x2(cos(x2)) + 3sin(x2)
f’(x) = 6x2(cos(x2)) – 3sin(x2)
2
Find the derivative
f’(x) =(sin(x2) tan(x) – cos(x2) sec2(x))/tan2(x)
f’(x) =(– 2x sin(x2) tan(x) – cos(x2) sec2(x))/tan2(x)
f’(x) =(2x sin(x2) tan(x) – cos(x2) sec2(x))/tan2(x)
f’(x) =(– 2x sin(x2) tan(x) – cos(x2) sec2(x))/cos2(x2)
3
Look at the image:
Power Rule, Trig, Power Rule, Product Rule
Trig, Trig, product rule, power rule
Power Rule, Trig, Power Rule, Sum Rule
Power Rule, Trig, Trig, Power rule, sum rule
4
Select the correct answer
f’(x) = 4(x2 + 8x)4 (2x + 8x)
f’(x) = 4(x2 + 8x)3 (2x + 8)
f’(x) = 5(x2 + 8x)4 (2x + 8x)
f’(x) = 5(x2 + 8x)4 (2x + 8)
5
Find the derivative
f’(x) = 5(x2 + 8x)4 (2x + 8x)
f’(x) = 2/5(x2 + 8x)4 (2x + 8x)
f’(x) = 2/5(x2 + 8x)3 (2x + 8)
f’(x) = 5(x2 + 8x)4 (x + 4)
6
Find the derivative
None of the above
f’(x) = (2x + 8) (cos (x2 + 8x))
f’(x) = 2x + 8(cos (x2 + 8x))
f’(x) = -(2x + 8) (cos (x2 + 8x))
