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Chain Rule (Product, quotient, trig derivatives) Flashcards | StudBud
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Chain Rule (Product, quotient, trig derivatives)
Chain Rule (Product, quotient, trig derivatives)
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A#calculus Quiz to review #chain rule, # product rule, # quotient rule, # trigonometric derivatives
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7 cards
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Questions
7
Answers
1
Find the derivative
f’(x) = 5/2(x2 + 8x)4 (2x + 8x)
f’(x) = 5(x2 + 8x)4 (2x + 8x)
f’(x) = 5(x+4)(x2 + 8x)3/2
f’(x) = 2/5(x2 + 8x)3 (2x + 8)
2
Find the derivative
f’(x) = – 6x2(cos(x2)) + 3sin(x2)
f’(x) = 6x2(cos(x2)) – 3sin(x2)
f’(x) = 6x2(cos(x2)) + 3sin(x2)
f’(x) = 3x2(cos(x2)) + 3sin(x2)
3
Select the correct answer
f’(x) = 4(x2 + 8x)4 (2x + 8x)
f’(x) = 5(x2 + 8x)4 (2x + 8x)
f’(x) = 5(x2 + 8x)4 (2x + 8)
f’(x) = 4(x2 + 8x)3 (2x + 8)
4
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))/cos2(x2)
f’(x) =(2x sin(x2) tan(x) – cos(x2) sec2(x))/tan2(x)
5
Look at the image:
Power Rule, Trig, Trig, Power rule, sum rule
Power Rule, Trig, Power Rule, Product Rule
Trig, Trig, product rule, power rule
Power Rule, Trig, Power Rule, Sum Rule
6
Find the derivative
f’(x) = (2x + 8) (cos (x2 + 8x))
None of the above
f’(x) = 2x + 8(cos (x2 + 8x))
f’(x) = -(2x + 8) (cos (x2 + 8x))
7
Find the equation of the line tangent to y = x
2
cscx at x = π/2
y = π
y = πx - π2/4
y = πx + π/2
y = πx - π/4
