Partial derivative with two variables multiple times
You are currently viewing a sample of the Cram Kit. Click here to unlock everything.
Scenario: Solve for fxxy(x,y) with the function below.
You might also see this written as:
We're evaluating this derivative with respect to x... then with respect to x (again)... then with respect to y.
In other words... take the derivative of f(x, y) treating x as a variable and y as a constant... then do that again... then do the opposite!
Remember: we're treating y as a constant, so pull it out front before taking the derivative of the x term! (Constant Multiple Rule)
Answer: fxxy(x, y) = 6 + 30y3