Find the indicated derivative for the function. \[ f^{\prime \prime}(x) \text { for } f(x)=3 x^{5}-9 x^{2}+2 x-3 \]

Step 1 ：The given function is \(f(x) = 3x^{5} - 9x^{2} + 2x - 3\).

Step 2 ：First, find the first derivative of the function, \(f'(x)\), by applying the power rule for differentiation, which states that the derivative of \(x^n\) is \(nx^{n-1}\).

Step 3 ：So, \(f'(x) = 15x^{4} - 18x + 2\).

Step 4 ：Then, differentiate \(f'(x)\) again to find the second derivative, \(f''(x)\).

Step 5 ：So, \(f''(x) = 60x^{3} - 18\).

Step 6 ：Therefore, the second derivative of the function \(f(x) = 3x^{5} - 9x^{2} + 2x - 3\) is \(\boxed{60x^{3} - 18}\).