AP EAMCET · Maths · Application of Derivatives
The equation of the normal to the curve \(y=\cosh x\) drawn at the point nearest to the origin is
- A \(y=0\)
- B \(x=1\)
- C \(x=0\)
- D \(y=1\)
Answer & Solution
Correct Answer
(C) \(x=0\)
Step-by-step Solution
Detailed explanation
\(\because y=\cos h x\) \(\Rightarrow y^{\prime}=\sin \mathrm{hx}\) To find the nearest point to the origin, we can set the derivative equal to zero. \[ \therefore \sin \mathrm{h}(\mathrm{x})=0 \] The only solution of this equation is \(x=0\) At…
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