AP EAMCET · Maths · Application of Derivatives
The angle between the curve \(2 y=e^{-x / 2}\) and the \(y\)-axis is \(\tan ^{-1}(\mathrm{k})\) then \(\mathrm{k}=\)
- A \(1\)
- B \(2\)
- C \(3\)
- D \(4\)
Answer & Solution
Correct Answer
(D) \(4\)
Step-by-step Solution
Detailed explanation
\(\phi=\pi-\theta\)....(i) put \(\mathrm{x}=0\) using \(=\mathrm{e}^{-\mathrm{x} / 2}\) \(\begin{aligned} & 2 y=1 \Rightarrow y=\frac{1}{2} \\ & 2 y=e^{-x / 2} \Rightarrow 2 \frac{d y}{d x}=-\frac{1}{2} e^{-x / 2}\end{aligned}\) put \(x=0\)…
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