Find the Indicated Partial Derivative $f ( x , y ) = x ^ { 2 } y ^ { 4 } - 3 x ^ { 4 } y ; f _ { m x }$

question 13

Multiple Choice

Find the indicated partial derivative. $f ( x , y ) = x ^ { 2 } y ^ { 4 } - 3 x ^ { 4 } y ; f _ { m x }$

• A) \(f _ { m x } = 12 x ^ { 2 } y\)
• B) \(f _ { m x } = - 36 x y\)
• C) \(f _ { m x } = 3 x y\)
• D) \(f _ { m x } = - 72 x y\)
• E) \(f _ { m x } = - 3 x y\)

---

Definitions:

Agreeable

A personality trait characterized by being friendly, cooperative, and easy to get along with.

Conscientious

Characterized by the desire to do one’s work or duty well and thoroughly.

Remarried Fathers

Fathers who have entered into a subsequent marriage after a divorce or the death of their spouse, facing unique family dynamic challenges.

Stepchildren

Children of one's spouse from a previous relationship; not one's biological or adopted children, but part of the family through marriage.