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Derivatives Quiz Flashcards | StudBud

Explore/Derivatives Quiz

Find the derivative of f(x) = x3cos(x)

Find & simplify the derivative of f(x) = (5x3-4x)(3x2-x+11)

Derivatives Quiz

4 terms·StudBud Administration·26 plays

A #calculus quiz to review the product and quotient rules for finding derivatives

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Questions 4

Answers

1
Find & simplify the derivative of f(x) = (5x³-4x)(3x²-x+11)
(15x2-4)(3x2-x+11) + (5x3-4x)(6x-1)
90x3-15x2-24x+4
75x4-20x3+129x2+8x-44
(5x3-4x)(6x-1) + (15x2-4)(3x2-x+11)
2
Find the derivative of f(x) = x³cos(x)
x2 [ 3cos(x) - xsin(x) ]
- x3sin(x)
x3sin(x) + 3x2cos(x)
- 3x2sin(x)
3
Find the derivative of g(x) = 5x⁴ / sin(x)
[ 20x3sin(x) - 5x4cos(x) ] / sin2(x)
5x3csc(x) [4 - xcot(x) ]
[ -5x4 / sin2(x) ] + [ 20x3 / sin(x) ]
Undefined
4
Find & simplify the derivative of g(x) = (x²-3x+10) / (3x²)
-x-1 + (10/3)x-2
(1/x2) - (20/3x2)
- (1/x2) + (20/3x2)
[3x2(2x-3) - (x2-3x+10)(6x)] / 3x4