{"id":4626,"date":"2016-05-17T11:49:00","date_gmt":"2016-05-17T06:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-miscellaneous-11\/"},"modified":"2016-05-17T13:27:34","modified_gmt":"2016-05-17T07:57:34","slug":"ncert-solutions-class-11-maths-miscellaneous-11","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-miscellaneous-11\/","title":{"rendered":"NCERT Solutions class-11 Maths Miscellaneous"},"content":{"rendered":"

Miscellaneous Exercise<\/strong><\/p>\n

1. Find the derivative of following functions from first principle:<\/strong><\/p>\n

(i) <\/strong><\/p>\n

(ii) <\/strong><\/p>\n

(iii) <\/strong><\/p>\n

(iv) <\/strong><\/p>\n

Ans. (i)<\/strong>Given: then<\/p>\n

<\/p>\n

<\/p>\n

= = = <\/p>\n

(ii)<\/strong>Given:<\/p>\n

then<\/p>\n

<\/p>\n

<\/p>\n

= = = <\/p>\n

(iii)<\/strong>Given:<\/p>\n

then<\/p>\n

<\/p>\n

<\/p>\n

= <\/p>\n

= = <\/p>\n

(iv)<\/strong>Given:<\/p>\n

then<\/p>\n

<\/p>\n

<\/p>\n

= <\/p>\n

= <\/p>\n

= <\/p>\n

\n

Find the derivative of the following functions (it is to be understood that and are fixed non-zero constants and and are integers).<\/strong><\/p>\n

2. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

= 1<\/p>\n

\n

3. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

= <\/p>\n

= = <\/p>\n

\n

4. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

= <\/p>\n

\n

5. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

= = <\/p>\n

\n

6. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

= <\/p>\n

= = <\/p>\n

\n

7. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

= <\/p>\n

\n

8. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\n

9. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\n

10. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

= <\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\n

11. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

= <\/p>\n

\n

12. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

= = <\/p>\n

\n

13. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\n

14. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

= <\/p>\n

\n

15. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

= <\/p>\n

\n

16. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

= = <\/p>\n

= <\/p>\n

\n

17. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\n

18. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\n

19. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

= <\/p>\n

\n

20. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

= <\/p>\n

\n

21. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

= = <\/p>\n

\n

22. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\n

23. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

= <\/p>\n

<\/p>\n

\n

24. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\n

25. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\n

26. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\n

27. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

= <\/p>\n

\n

28. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

= <\/p>\n

<\/p>\n

\n

29. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\n

30. <\/strong><\/p>\n

Ans. <\/strong>Given:<\/p>\n

<\/p>\n

<\/p>\n

= <\/p>\n

<\/p>\n

= <\/p>\n

= <\/p>\n","protected":false},"excerpt":{"rendered":"

Miscellaneous Exercise 1. Find the derivative of following functions from first principle: (i) (ii) (iii) (iv) Ans. (i)Given: then = = = (ii)Given: then = = = (iii)Given: then = = = (iv)Given: then = = = Find the derivative of the following functions (it is to be understood that and are fixed non-zero constants … Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[47,281],"tags":[],"class_list":["post-4626","post","type-post","status-publish","format-standard","hentry","category-cbse-class-11","category-ncert-solutions"],"yoast_head":"\nNCERT Solutions class-11 Maths Miscellaneous | myCBSEguide<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-miscellaneous-11\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions class-11 Maths Miscellaneous | myCBSEguide\" \/>\n<meta property=\"og:description\" content=\"Miscellaneous Exercise 1. Find the derivative of following functions from first principle: (i) (ii) (iii) (iv) Ans. (i)Given: then = = = (ii)Given: then = = = (iii)Given: then = = = (iv)Given: then = = = Find the derivative of the following functions (it is to be understood that and are fixed non-zero constants ... 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