Question

Find the first partial derivatives of the function w = eᵛ * u * v⁷?

Answer 1

To find the first partial derivatives of the function w = e^v * u * v^7, we need to take the derivative with respect to each variable separately.

Step-by-step explanation:

First Partial Derivatives

To find the first partial derivatives of the function w = e^v * u * v^7, we need to take the derivative with respect to each variable separately.

Partial derivative with respect to u:

wu = e^v * v^7

Partial derivative with respect to v:

wv = e^v * u * 7v^6