If `y=tan^-1x` find `(d^2y)/(dx^2)` in terms of y alone.

Explanation

To find the second derivative \(\frac{d^2y}{dx^2}\) in terms of \(y\) alone for the function \(y = \tan^{-1}(x)\), we can follow these steps:

### Step 1: Differentiate \(y = \tan^{-1}(x)\)
We start by differentiating \(y\) with respect to \(x\):
\[ \frac{dy}{dx} = \frac{1}{1 + x^2} \]

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