Practice Equation Of The Tangent (1.3) - Tangents and Normals - IB 10 Mathematics – Group 5, Calculus
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Equation of the Tangent

Practice - Equation of the Tangent

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define what a tangent line is.

💡 Hint: Think about how it relates to the curve.

Question 2 Easy

What is the formula for the slope of the tangent?

💡 Hint: Remember, derivatives measure change.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a tangent line?

A curve crossing another
A line that touches a curve at one point
A horizontal line

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

Question 2

True or False: The slope of a tangent line can be found using the first derivative of the function.

True
False

💡 Hint: Recall what derivatives represent.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider the function 𝑦 = 2𝑥³ - 3𝑥². Find the equation of the tangent line at x = -1.

💡 Hint: Evaluate each step carefully and remember how to find a point on the curve!

Challenge 2 Hard

What is the slope of the tangent line and equation at x = 0 for 𝑦 = 1/(𝑥² + 1)?

💡 Hint: Ensure you know the correct derivative rules and apply them.

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