Class 12 Mathematics Practice Assignments: CBSE Class 12 Mathematics Application of Derivatives Assignment Set 05
Access comprehensive school assignments for Chapter 06 Applications Of Derivatives using the CBSE Class 12 Mathematics Application of Derivatives Assignment Set 05. Designed to align with the 2026-27 CBSE academic guidelines, these practice sets help Class 12 Mathematics students reinforce core concepts and improve their problem-solving accuracy.
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This assignment has 8 short practice questions on Chapter 6 Application of Derivatives for Class 12 Mathematics (CBSE), on increasing and decreasing functions and maximum and minimum values. The answer to each question is given below it for quick self-checking.
Practice Questions
Question 1. If \( f(x) = ax + \frac{b}{x} \), a, b, x > 0, then find the least value of f(x).
Answer:
\( 2\sqrt{ab} \)
Question 2. Find the point of maxima for the function f(x) = 2x3 − 3x2 − 12x + 4.
Answer:
x = −1
Question 3. Find the minimum value of f(x) = x2 − 8x + 17.
Answer:
1
Question 4. Find the maximum value of xy, if x + 2y = 8.
Answer:
8
Question 5. Find the maximum value of sin x · cos x.
Answer:
\( \frac{1}{2} \)
Question 6. Show that the function f(x) = ex − e−x is increasing for all real values.
Answer:
f′(x) = ex + e−x > 0 for all x ∈ R, so f is increasing on R.
Question 7. Find the values of a for which the function f(x) = sin x − ax + b is increasing on R.
Answer:
a ≤ −1
Question 8. Find the interval in which the function f(x) = 2x3 + 9x2 + 12x − 1 is decreasing.
Answer:
[−2, −1]
Free study material for Mathematics
Chapter 06 Applications Of Derivatives Printable Assignments & Solutions for Class 12 Mathematics
Revision Assignment: Chapter 06 Applications Of Derivatives (CBSE)
Explore reliable practice questions for Chapter 06 Applications Of Derivatives tailored for Class 12 learners. Use these structured worksheets to evaluate preparedness and strengthen core problem-solving skills.
Why Practice Class 12 Mathematics Assignments?
- Syllabus Compliance: Sets reflect current CBSE evaluation criteria and official marking frameworks.
- Multi-Format Practice: Includes varied problem types designed to deepen comprehension across all sub-topics.
- Time Management: Routine practice optimizes pacing to finish school examinations comfortably within schedule.
Effective Strategy for Class 12 Mathematics Assignments
- Textbook Review: Always study the core NCERT book for Class 12 Mathematics prior to beginning the assignment.
- Independent Attempt: Solve Chapter 06 Applications Of Derivatives questions on your own initially before cross-checking with expert solutions.
- Error Tracking: Record challenging concepts in a dedicated notebook and practice online MCQ tests for revision.
FAQs
You can download free PDF assignments for Class 12 Mathematics Chapter 06 Applications Of Derivatives from StudiesToday.com. These practice sheets have been updated for the 2026-27 session covering all concepts from latest NCERT textbook.
Yes, our teachers have given solutions for all questions in the Class 12 Mathematics Chapter 06 Applications Of Derivatives assignments. This will help you to understand step-by-step methodology to get full marks in school tests and exams.
Yes. These assignments are designed as per the latest CBSE syllabus for 2026. We have included huge variety of question formats such as MCQs, Case-study based questions and important diagram-based problems found in Chapter 06 Applications Of Derivatives.
Practicing topicw wise assignments will help Class 12 students understand every sub-topic of Chapter 06 Applications Of Derivatives. Daily practice will improve speed, accuracy and answering competency-based questions.
Yes, all printable assignments for Class 12 Mathematics Chapter 06 Applications Of Derivatives are available for free download in mobile-friendly PDF format.