Practice Examples (4) - Tangents and Normals - IB 10 Mathematics – Group 5, Calculus
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Practice Questions

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Question 1 Easy

What is a tangent line?

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

Question 2 Easy

How do you find the slope of a tangent?

💡 Hint: Remember, the slope is derived from dy/dx.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the definition of a tangent line?

Touches the curve at a point
Crosses the curve at a point

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

Question 2

Which formula is used to find the equation of a tangent line?

y = mx + b
y - y1 = m(x - x1)
y = ax^2 + bx + c

💡 Hint: Remember how to use coordinates in the formula.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

For the function y = e^x, find the tangent and normal line equations at x = 0.

💡 Hint: Calculate the derivative and evaluate at x = 0.

Challenge 2 Hard

Determine the tangent and normal to y = x^4 at x = 1.

💡 Hint: Use derivatives to find the slopes and points.

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