यदि y2 = 4ax है, तो \(\rm \frac{dy}{dx} = \) का मान क्या है?

  1. 4a
  2. \(\rm \frac{4a}{y}\)
  3. \(\rm \frac{2a}{y}\)
  4. 2a

Answer (Detailed Solution Below)

Option 3 : \(\rm \frac{2a}{y}\)
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संकल्पना:

\(\rm \frac{dx^n}{dx}=nx^{n-1}\)

 

गणना:

दिया गया है:​ y2 = 4ax

x के संबंध में अवकलन करने पर, हमें निम्न प्राप्त होता है

\(\rm \Rightarrow {2y}\frac{dy}{dx} = 4a\)

\(\rm \Rightarrow \frac{dy}{dx} = \frac{4a}{{2y}} \)

\(\rm \therefore \frac{dy}{dx} = \frac{2a}{y} \)

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