NCERT solutions for class 11 maths Chapter 13 Limits and Derivatives (सीमा और अवकलज)

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Chapter 13 Limits and Derivatives (सीमा और अवकलज).

प्रश्नावली 13.1

प्रश्न 1 से 22 तक निम्नलिखित सीमाओं के मान प्राप्त कीजिए:

प्रश्नावली 13.2

प्रश्न 1.
x = 10 पर x² – 2 का अवकलज ज्ञात कीजिए।

प्रश्न 2.
x = 100 पर 99x का अवकलज ज्ञात कीजिए।

प्रश्न 3.
x = 1 पर x का अवकलज ज्ञात कीजिए।

प्रश्न 4.
प्रथम सिद्धांत से निम्नलिखित फलनों का अवकलज ज्ञात कीजिए:

प्रश्न 7.
किन्हीं अचरों a और b के लिए

प्रश्न 9.
निम्नलिखित के अवकलज ज्ञात कीजिए:

प्रश्न 10.
प्रथम सिद्धांत से cos x का अवकलज ज्ञात कीजिए।

प्रश्न 11.
निम्नलिखित फलनों के अवकलज ज्ञात कीजिए:

अध्याय 13 पर विविध प्रश्नावली

प्रश्न 1.
प्रथम सिद्धांत से निम्नलिखित फलनों का अवकलज ज्ञात कीजिए:

निम्नलिखित फलनों के अवकलज ज्ञात कीजिए (यह समझा जाए कि a, b, c, p, q, r और s निश्चित शून्येत्तर अचर हैं और m तथा n पूर्णाक हैं।)

प्रश्न 2.
(x + a)

प्रश्न 3.
(px + q) (  + s)

प्रश्न 4.
(ax + b) (cx + d)²

प्रश्न 11.
4√x – 2.

प्रश्न 12.
(ax + b)ⁿ

प्रश्न 13.
(ax + b)ⁿ (cx + d)^m

प्रश्न 14.
sin (x + a).

प्रश्न 15.
cosec x cot x.