Practice Finding The Equation Of A Tangent Line (4) - Derivatives - IB 10 Mathematics – Group 5, Calculus
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Finding the Equation of a Tangent Line

Practice - Finding the Equation of a Tangent Line

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the derivative of f(x) = x^2?

💡 Hint: Use the power rule.

Question 2 Easy

If f(x) = x^3, what is f'(1)?

💡 Hint: Find the derivative then substitute x = 1.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the derivative represent?

Tangent Line
Slope
Function's Maxima

💡 Hint: Think about what the derivative measures in a graph.

Question 2

True or False: A tangent line can intersect a curve at more than one point.

True
False

💡 Hint: Remember the definition of tangent.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Find the equation of the tangent line for f(x) = ln(x) at x = e.

💡 Hint: Compute the derivative and find f(e) first.

Challenge 2 Hard

Determine the slope of the tangent line for f(x) = tan(x) at x = π/4.

💡 Hint: Make sure to evaluate the derivative properly.

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Reference links

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