### Compute the First-Order Partial Derivatives of the Given Function Function: \[ P = e^{\sqrt{y^8 + z^8}} \] **Instructions:** Use symbolic notation and fractions where needed. #### Partial Derivative with respect to \( y \): \[ \frac{\partial P}{\partial y} = \] #### Partial Derivative with respect to \( z \): \[ \frac{\partial P}{\partial z} = \]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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### Compute the First-Order Partial Derivatives of the Given Function

Function:
\[ P = e^{\sqrt{y^8 + z^8}} \]

**Instructions:** Use symbolic notation and fractions where needed.

#### Partial Derivative with respect to \( y \):
\[ \frac{\partial P}{\partial y} = \]

#### Partial Derivative with respect to \( z \):
\[ \frac{\partial P}{\partial z} = \]
Transcribed Image Text:### Compute the First-Order Partial Derivatives of the Given Function Function: \[ P = e^{\sqrt{y^8 + z^8}} \] **Instructions:** Use symbolic notation and fractions where needed. #### Partial Derivative with respect to \( y \): \[ \frac{\partial P}{\partial y} = \] #### Partial Derivative with respect to \( z \): \[ \frac{\partial P}{\partial z} = \]
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