Find the indicated derivative for the function. \[ h^{\prime \prime}(x) \text { for } h(x)=4 x^{-2}-4 x^{-7} \] \[ h^{\prime \prime}(x)=\square \]

Step 1 ：Let \( h(x) = 4x^{-2} - 4x^{-7} \)

Step 2 ：Find the first derivative of \( h(x) \) using the power rule for differentiation, which states that the derivative of \( x^n \) is \( n*x^{(n-1)} \).

Step 3 ：The first derivative \( h'(x) \) is \( -8x^{-3} + 28x^{-8} \).

Step 4 ：Find the second derivative of \( h(x) \) by differentiating the first derivative.

Step 5 ：The second derivative \( h''(x) \) is \( 24x^{-4} - 224x^{-9} \).

Step 6 ：Final Answer: \( h''(x) = \boxed{\frac{24}{x^{4}}-\frac{224}{x^{9}}} \)