MHT CET · Maths · Differentiation
If \(a\left(4+x^2\right)=x\) and \(\mathrm{y}-x^3=a^2\) then \(\frac{\mathrm{dy}}{\mathrm{d} x}\) at \(x=1\) is ...
- A \(\frac{441}{125}\)
- B \(\frac{18}{125}\)
- C \(\frac{378}{125}\)
- D \(\frac{381}{125}\)
Answer & Solution
Correct Answer
(D) \(\frac{381}{125}\)
Step-by-step Solution
Detailed explanation
Differentiate given equations with respect to \(x\): \(a(4+x^2)=x \implies 2ax + (4+x^2)\frac{da}{dx} = 1\)
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