Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take mock test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the equation of the tangent line at a point P(x₁, y₁) if the slope is m?
💡 Hint: Use the point-slope form of the linear equation.
Question 2
Easy
True or False: The slope of the normal line is the negative reciprocal of the slope of the tangent line.
💡 Hint: Recall the relationship between perpendicular slopes.
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 does the derivative represent?
- The area under a curve
- The rate of change at a point
- The maximum value of a function
💡 Hint: Think about how we perceive change in motion.
Question 2
True or False: A point is a local maximum if the first derivative is zero and the second derivative is positive.
- True
- False
💡 Hint: Remember the conditions for maximum and minimum.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A rectangular garden has dimensions x and y. The area A = xy = 100. Express y in terms of x and find dimensions that minimize the perimeter.
💡 Hint: Optimize the perimeter as a function of area.
Question 2
A company's cost function is C(x) = x³ - 5x² + 8x + 15. Determine the number of units produced for minimized cost.
💡 Hint: Use both derivatives to confirm minimum value.
Challenge and get performance evaluation