Find the second-order partial derivative. Find fxx

Question

when f(x, y) = 8xe^xy.?

Answer 1

Step 1 :

Function .
Definition of Partial derivative: .

Find .

Differentiate partially with respect to x.
 

Product rule of Partial Differentiation : .

.

Step 2 :

Find .

Differentiate partially with respect to x.

The second partial derivative is .

Solution :

.