UP Board Solutions for Class 11 Maths Chapter 13 Limits and Derivatives (सीमा और अवकलज)

UP Board Solutions

UP Board Solutions for Class 11 Maths Chapter 13 Limits and Derivatives (सीमा और अवकलज)

These Solutions are part of UP Board Solutions for Class 11 Maths. Here we have given UP Board Solutions for Class 11 Maths Chapter 13 Limits and Derivatives (सीमा और अवकलज).

प्रश्नावली 13.1

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

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प्रश्नावली 13.2

प्रश्न 1.
x = 10 पर x² – 2 का अवकलज ज्ञात कीजिए।
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प्रश्न 2.
x = 100 पर 99x का अवकलज ज्ञात कीजिए।
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प्रश्न 3.
x = 1 पर x का अवकलज ज्ञात कीजिए।
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प्रश्न 4.
प्रथम सिद्धांत से निम्नलिखित फलनों का अवकलज ज्ञात कीजिए:
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प्रश्न 7.
किन्हीं अचरों a और b के लिए
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प्रश्न 9.
निम्नलिखित के अवकलज ज्ञात कीजिए:
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प्रश्न 10.
प्रथम सिद्धांत से cos x का अवकलज ज्ञात कीजिए।
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प्रश्न 11.
निम्नलिखित फलनों के अवकलज ज्ञात कीजिए:
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अध्याय 13 पर विविध प्रश्नावली

प्रश्न 1.
प्रथम सिद्धांत से निम्नलिखित फलनों का अवकलज ज्ञात कीजिए:
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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)
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प्रश्न 3.
(px + q) (\frac { r }{ x }+ s)
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प्रश्न 4.
(ax + b) (cx + d)²
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प्रश्न 11.
4√x – 2.
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प्रश्न 12.
(ax + b)n
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प्रश्न 13.
(ax + b)n (cx + d)m
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प्रश्न 14.
sin (x + a).
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प्रश्न 15.
cosec x cot x.
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