TS EAMCET · Maths · Differentiation
If \(f(x)=\frac{x-1}{e^x}\), then \(f^{\prime}(0)+f^{\prime \prime}(0)=\)
- A 0
- B 1
- C -1
- D 2
Answer & Solution
Correct Answer
(C) -1
Step-by-step Solution
Detailed explanation
Given that, \(f(x)=\frac{x-1}{e^x}\) \(\ldots(\mathrm{i})\) Differentiating Eq. (i) w.r.t. \(x\) on both sides, we get \(f^{\prime}(x)=\frac{e^x \frac{d}{d x}(x-1)-(x-1) \frac{d}{d x}\left(e^x\right)}{\left(e^x\right)^2}\)…
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