Practice - Slope of the Normal
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Practice Questions
Test your understanding with targeted questions
What is the slope of the normal line if the slope of the tangent line at a point is 2?
💡 Hint: Recall the relationship between tangent and normal slopes.
State the formula for the slope of the normal line.
💡 Hint: This is a negative reciprocal relationship.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the slope of the normal line if the slope of the tangent line is 3?
💡 Hint: Think about how reciprocals work.
True or False: The normal line is always a straight line.
💡 Hint: Consider the properties of lines.
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Challenge Problems
Push your limits with advanced challenges
For the curve y=x^2, calculate the slope of the normal at x=3 and provide the full equation for the normal line.
💡 Hint: Differentiate first, then apply the normal slope logic.
A curve defined by y=sin(x) has its point of interest at x=π/4. Find the normal line's equation.
💡 Hint: Use derivatives and trigonometric identities effectively.
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Reference links
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