if `f'(x)=sqrt(2x^2-1)` and `y=f(x^2)` then `(dy)/(dx)` at `x=1` is:

Options

A. 2
B. 1
C. -2
D. none of these

Explanation

To solve the problem step by step, we need to find the derivative \( \frac{dy}{dx} \) given that \( f'(x) = \sqrt{2x^2 - 1} \) and \( y = f(x^2) \). We will then evaluate this derivative at \( x = 1 \).

### Step 1: Write down the expression for \( y \)
Given:
\[ y = f(x^2) \]

...