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Practice Questions
Test your understanding with targeted questions related to the topic.
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.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
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.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
Determine the tangent and normal to y = x^4 at x = 1.
💡 Hint: Use derivatives to find the slopes and points.
Challenge and get performance evaluation