Write the equation of the tangent line with the quotient rule at a point
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Mathematics
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11th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the y-coordinate when x is equal to 1 in the given equation?
1/2
3/2
2/3
1/3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the derivative of a function?
Finding the slope
Identifying the constant
Simplifying the expression
Rewriting the function
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of a constant?
Undefined
One
Zero
The constant itself
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to use brackets and parentheses when calculating derivatives?
To make it easier to read
To make the expression look neat
To avoid calculation errors
To simplify the expression
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of evaluating the derivative at x = 1?
-1/9
1/9
-1/3
1/3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the equation of the line derived from the given derivative?
y - 1/3 = -1/9(x - 1)
y + 1/3 = -1/9(x + 1)
y + 1/3 = 1/9(x + 1)
y - 1/3 = 1/9(x - 1)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of finding the derivative in this context?
To find the slope of the tangent line
To calculate the area under the curve
To find the y-intercept
To determine the maximum value
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