Algebra: Differentiation
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Mathematics
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10th - 12th Grade
•
Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the function y = x^3 - 2x^2 - 15x + 5?
3x^2 - 4x - 15
3x^2 - 4x + 5
3x^2 + 4x - 15
3x^2 - 2x - 15
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following terms is eliminated during differentiation?
5
2x^2
15x
x^3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the range of x values for which the curve has a negative gradient?
Set the original equation equal to zero
Set the derivative less than zero
Set the original equation less than zero
Set the derivative equal to zero
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the quadratic formula used to solve the inequality?
x = (-b ± √(b^2 - 4ac)) / 2a
x = (b ± √(b^2 + 4ac)) / 2a
x = (b ± √(b^2 - 4ac)) / 2a
x = (-b ± √(b^2 + 4ac)) / 2a
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the critical values obtained from solving the quadratic inequality?
-5/3 and -3
-3 and 5/3
-5/3 and 3
3 and 5/3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In which range of x values does the curve have a negative gradient?
x < -5/3 or x > 3
x > -5/3 and x < 3
-5/3 < x < 3
x < -5/3 and x > 3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many marks are available for correctly setting up the inequality and solving it?
2 marks
3 marks
4 marks
5 marks
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