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3 cards from this section. Quick, good the night before a test.
What is the definition of a normal line?
Think about the relationship between tangent and normal.
How do you calculate the slope of the normal given the tangent slope?
What happens to the tangent's slope?
What is the slope of the normal line in relation to the tangent?
Think about how they relate geometrically.
The normal to a curve at a point is always perpendicular to the tangent line.
What does perpendicular mean?
Find the normal line for y = 1/x at x = 1.
Calculate the derivative and substitute values accordingly.
Analyze the function y = sin(x) at x = π/2 and derive the normal line.
Consider the properties of the sine function and its slopes at key points.
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