(i) = Formulae: = n- cosec2xax = logn(a)×axDifferentiating with respect to x,= 4.3x3-1 + 3.logn(2).2x + 6×- + 5 ×- cosec2x= 12x2 + 3.logn(2).2x -3 -5 cosec2x(ii) = = nax = logn(a)×axDifferentiating with respect to x,==

1 2 3 4 5 6 7 8 9 10 11 12 13

RS Aggarwal - Mathematics

28. Differentiation

1. Sets
2. Relations
3. Functions
4. Principle of Mathematical Induction
5. Complex Numbers and Quadratic Equations
6. Linear Inequations (In one variable)
7. Linear Inequations (In two variables)
8. Permutations
9. Combinations
10. Binomial Theorem
11. Arithmetic Progression
12. Geometrical Progression
13. Some Special Series
14. Measurement of Angles
15. Trigonometric, or Circular, Functions
16. Conditional Identities Involving the Angles of a Triangle
17. Trigonometric Equations
18. Solution of Triangles
19. Graphs of Trigonometric Functions
20. Straight Lines
21. Circle
22. Parabola
23. Ellipse
24. Hyperbola
25. Applications of Conic Sections
26. Three-Dimensional Geometry
27. Limits
28. Differentiation
29. Mathematical Reasoning
30. Statistics
31. Probability
Objective Questions

Exercise 28A

1 2 3 4 5 6 7 8 9 10 11 12 13

Exercise 28B

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

Exercise 28C

1 2 3 4 5 6 7 8 9 10 11 12

Exercise 28D

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

Exercise 28E

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44

Q. 53.5( 15 Votes )

<span lang="EN-US

Class 11th RS Aggarwal - Mathematics 28. Differentiation

Answer :

(i)

Formulae:

= n

- cosec²x

a^x = log_n(a)×a^x

Differentiating with respect to x,

= 4.3x^3-1 + 3.log_n(2).2^x + 6×- + 5 ×- cosec²x

= 12x² + 3.log_n(2).2^x -3 -5 cosec²x

(ii)

= n

a^x = log_n(a)×a^x

Differentiating with respect to x,

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUS<span lang="EN-US NEXT<span lang="EN-US

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

view all courses