TS EAMCET · Maths · Application of Derivatives
The slope of the tangent to the curve \(f(x)=\tanh ^{-1}(\sin x)\) at \(x=\pi\) is
- A 1
- B 0
- C -1
- D -2
Answer & Solution
Correct Answer
(C) -1
Step-by-step Solution
Detailed explanation
We have, \[ f(x)=\tanh ^{-1}(\sin x) \] Let \[ \begin{aligned} f(x) & =y \\ y & =\tanh ^{-1}(\sin x) \\ \tanh y & =\sin x \end{aligned} \] Differentiate w.r.t. ' \(x\) '…
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