Question

Find the indicated partial derivative (a) fx,y,z)=eˣʸᶻ² fyzz

Answer 1

To find the indicated partial derivative fyzz, we need to take the derivative of the given function with respect to y twice.

Step-by-step explanation:

To find the indicated partial derivative (a) fx,y,z)=eˣʸᶻ² fyzz, we will take the derivative with respect to y twice. Let's begin:

1. Take the first derivative of the function with respect to y: fx,y,z) = eˣʸᶻ² * (2yz)
2. Now, take the derivative of the result with respect to y again: fyy,y,z) = (2eˣʸᶻ² * z) + (eˣʸᶻ² * 2)

Therefore, the indicated partial derivative is fyy,y,z) = 2eˣʸᶻ² * z + 2eˣʸᶻ².