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Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the point on the curve y = 3x + 2 at x = 2?
💡 Hint: Substitute x = 2 into the function.
Question 2
Easy
What is the slope of the line y = x² at x = 1?
💡 Hint: Find the derivative and evaluate at x = 1.
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 a tangent line?
- A line that intersects a curve at two points
- A line that touches a curve at one point
- A line that is always horizontal
💡 Hint: Think about how a curve can have different lines touching it.
Question 2
True or False: The normal line is always parallel to the tangent line.
- True
- False
💡 Hint: Consider the relationships of slopes in perpendicular lines.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Find the tangent line for y = ln(x) at x = 1 and express the normal line equation.
💡 Hint: Determine the derivative at x = 1, then apply point-slope form.
Question 2
Consider the curve y = x^2 as it intersects y = x + 1 at a point. Find the tangent and normal at that point.
💡 Hint: Set the two equations equal to find the intersection, then find derivatives at that point.
Challenge and get performance evaluation