Product and Quotient Rules Quiz
Authored by Renuka Swami
Mathematics
12th Grade
Used 2+ times
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10 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Find the derivative of f(x) = x^2 * sin(x)
2x * sin(x) + x^2 * cos(x)
2x * sin(x) + x^2 * sin(x)
2x * cos(x) + x^2 * sin(x)
2x * sin(x) - x^2 * cos(x)
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Calculate the derivative of g(x) = (3x^2 + 2x) / (x - 1)
(3x^2 + 2x) / (x - 1)^2 + 2
(-3x^2 - 2x + 2) / (x - 1)^2
(3x^2 + 2x) / (x - 1)
(-3x^2 - 2x + 2) / (x - 1)
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Determine the derivative of h(x) = (2x^3 - 5x^2) * (4x + 1)
12x^3 - 26x^2 - 10x
12x^3 - 26x^2 - 5x
12x^3 - 26x^2 + 5x
12x^3 - 26x^2 + 10x
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Find the derivative of f(x) = (x^2 + 3x) / (2x - 1)
(x^2 + 3x) / (2x - 1)
(x^2 + 3x) / (2x + 1)
(x^2 + 3x) / (2x)
(-x^2 + 4x + 3) / (2x - 1)^2
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Calculate the derivative of g(x) = x^3 * cos(x)
3x^2 * cos(x) - x^3 * sin(x)
3x^2 * sin(x) - x^3 * cos(x)
3x^2 * cos(x) + x^3 * cos(x)
3x^2 * cos(x) + x^3 * sin(x)
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Determine the derivative of h(x) = (4x^2 + 2x) / (3x - 2)
(4x^2 + 2x) / (3x - 2)
(12x^2 + 14x - 4) / (3x - 2)^2
(12x^2 - 14x - 4) / (3x - 2)^2
(12x^2 - 14x - 4) / (3x - 2)
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Find the derivative of f(x) = x^2 * e^x
x^2 * e^x + 2x * e^x
x^2 * e^x + 2e^x
x^2 * e^x - 2x
x^2 * e^x + 2x
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