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2 cards from this section. Quick, good the night before a test.
What is the point on the curve y = 3x + 2 at x = 2?
Substitute x = 2 into the function.
What is the slope of the line y = x² at x = 1?
Find the derivative and evaluate at x = 1.
What is a tangent line?
Think about how a curve can have different lines touching it.
True or False: The normal line is always parallel to the tangent line.
Consider the relationships of slopes in perpendicular lines.
Find the tangent line for y = ln(x) at x = 1 and express the normal line equation.
Determine the derivative at x = 1, then apply point-slope form.
Consider the curve y = x^2 as it intersects y = x + 1 at a point. Find the tangent and normal at that point.
Set the two equations equal to find the intersection, then find derivatives at that point.
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