Practice Finding Tangents And Normals To Curves (3) - Tangents and Normals
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Finding Tangents and Normals to Curves

Practice - Finding Tangents and Normals to Curves

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the definition of a tangent?

💡 Hint: Think about how a line interacts with a curve.

Question 2 Easy

How do you find the slope of a tangent line?

💡 Hint: Remember, the derivative gives the rate of change.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a tangent line?

A line that crosses the curve
A line that touches the curve at one point
A curve itself

💡 Hint: Think about how it interacts with the curve.

Question 2

The slope of the normal is the ___.

💡 Hint: What happens to the slope when lines are perpendicular?

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Find the tangent and normal for y=sin(x) at x=pi/3.

💡 Hint: Check the sine function and its properties.

Challenge 2 Hard

At what points do vertical tangents occur for y=ln(x)? Derive the equation and find normals at those points.

💡 Hint: Consider the domain of natural logs.

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