**Instructions for Computing the Partial Derivative** Given Problem: Compute the partial derivative of \( h(x, z) = e^{2xz - 6x^3z^5} \). Use symbolic notation and fractions where needed. Given: \[ h_z(5, 0) = \text{\underline{\hspace{100px}}} \] --- ### Explanation: To solve this problem, follow these steps: 1. **Understand the function**: - The function \( h(x, z) \) given is in terms of two variables \( x \) and \( z \). 2. **Partial Derivative with Respect to \( z \)**: - To find the partial derivative \( h_z(x, z) \), we treat \( x \) as a constant, and differentiate \( h(x, z) \) with respect to \( z \). 3. **Apply the Partial Derivative**: - Calculate \( h_z(x, z) \) and then substitute \( x = 5 \) and \( z = 0 \). ---

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