If y= x+e^ x then d^ 2 x d y^ 2 is equal to
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If \(y=\sin x+e^{x}\) then \(\frac{d^{2} x}{d y^{2}}\) is equal to
- \(\frac{\sin x-e^{x}}{\left[\cos x+e^{x}\right]^{2}}\)
- \(\frac{\sin x-e^{x}}{\left[\cos x+e^{x}\right]^{3}}\)
- \(\frac{\sin x-e^{x}}{\left[\cos x-e^{x}\right]^{2}}\)
- \(\left(-\sin x+\mathbf{e}^{x}\right)^{-1}\)
Answer
(B) x-e^ x [ x+e^ x ]^ 3
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