Question
Download Solution PDFसमीकरण y2 = 2x द्वारा दिए गए फलन y = f(x) का दूसरा अवकलज क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFगणना:
दिया गया फलन y2 = 2x है;
दोनों पक्षों पर x के सापेक्ष अवकलन करने पर,
2yy' = 2x ⇒ yy’ = 1 - (1)
⇒ y’ = 1/y;
दोनों पक्षों पर x के सापेक्ष फिर से (1) का अवकलन करने पर,
⇒ y . y” + y’. y’ = 0 - (2)
\(\Rightarrow y'' = - \frac{{{{\left( {y'} \right)}^2}}}{y} = - \frac{1}{{{y^3}}}\)
Last updated on Jun 19, 2025
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