CUET UG · Mathematics / Applied Mathematics (Domain)
Applications of Derivatives
Rate of change, increasing / decreasing functions, tangents and normals, maxima and minima.
Test yourself on Applications of Derivatives
5 real CUET UG questions with instant answers — no signup, ~3 minutes.
Study notes are still being prepared.
Don't wait — Shishya can teach you this topic right now, on demand.
Ask Shishya to teach this →Need more? Ask Shishya
Shishya is your personal tutor for this topic. Pick a starter or open a free chat.
- Go deeper on this topicGo deeper on Applications of Derivatives for CUET UG — examples and edge cases I should know.
- Show me exam shortcutsGive me 3 fastest shortcuts to solve Applications of Derivatives questions in the exam.
- What mistakes should I avoid?What are the most common mistakes students make on Applications of Derivatives? How do I avoid them?
- Quiz me adaptivelyQuiz me on Applications of Derivatives — start with one easy question, then go harder based on how I answer.
Practice this topic
Take a full mock →Q1 · Applications of Derivatives · EASY
The radius of a circular disc is increasing at the rate of 0.5 cm/s. At what rate is the area of the disc increasing when its radius is 10 cm?
Q2 · Applications of Derivatives · MEDIUM
Find the equation of the tangent to the curve y = x³ - 3x² + 2 at the point where x = 2.
Q3 · Applications of Derivatives · MEDIUM
The function f(x) = 2x³ - 9x² + 12x + 4 is strictly increasing in which interval?
Q4 · Applications of Derivatives · HARD
A wire of length 36 cm is bent to form a rectangle. What is the maximum possible area of the rectangle?
Q5 · Applications of Derivatives · EASY
The slope of the tangent to the curve y = x³ - 3x + 5 at the point (1, 3) is: