Tangent & Normal Lines (6-2)
Flashcard
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the equation of the line tangent to f(x)= 4x²+2x-1 at x=0?
Back
y=2x-1
2.
FLASHCARD QUESTION
Front
When we 'take the derivative' of a function what are we finding?
Back
The slope of the tangent line
3.
FLASHCARD QUESTION
Front
Find the slope at x = 3 of the equation f(x) = 3x²
Back
18
4.
FLASHCARD QUESTION
Front
What is the slope of the line normal to the curve y = x² + x at x = 1?
Back
-1/3
5.
FLASHCARD QUESTION
Front
What is the equation of the line tangent to the curve y = x² at x = 1?
Back
y = 2x - 1
6.
FLASHCARD QUESTION
Front
Define a tangent line in relation to a curve.
Back
A tangent line is a straight line that touches a curve at a single point without crossing it.
7.
FLASHCARD QUESTION
Front
What is the relationship between the derivative and the slope of a tangent line?
Back
The derivative of a function at a point gives the slope of the tangent line at that point.
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