Answer:
![grad(z(x,y))=2[e^{2xy}+2xye^{2xy}]\hat{i}+[4x^{2}e^{2xy}+2]\hat{j}](https://tex.z-dn.net/?f=grad%28z%28x%2Cy%29%29%3D2%5Be%5E%7B2xy%7D%2B2xye%5E%7B2xy%7D%5D%5Chat%7Bi%7D%2B%5B4x%5E%7B2%7De%5E%7B2xy%7D%2B2%5D%5Chat%7Bj%7D)
Step-by-step explanation:

The gradient of a function is

where Dx means derivative over x and the same for Dy. Hence we have
![grad(z(x,y))=2[e^{2xy}+2xye^{2xy}]\hat{i}+[4x^{2}e^{2xy}+2]\hat{j}](https://tex.z-dn.net/?f=grad%28z%28x%2Cy%29%29%3D2%5Be%5E%7B2xy%7D%2B2xye%5E%7B2xy%7D%5D%5Chat%7Bi%7D%2B%5B4x%5E%7B2%7De%5E%7B2xy%7D%2B2%5D%5Chat%7Bj%7D)
where we have used derivative of a product anf of an exponential function
I hope this is useful for you
regards
Answer:
-6
cuz I'm smart. big brain time
Answer:
1/6
Step-by-step explanation:
1 - 5/6
We need to get a common denominator of 6
1*6/6 - 5/6
6/6 -5/6
1/6