fbpx
calculus online - Free exercises and solutions to help you succeed!

Directional Derivative – Calculate maximum value and minimum value – Exercise 4302

Exercise

Calculate the directional derivative of the function

z=x^2-xy+y^2

At point (1,1) and in the direction that creates an alpha angle with a positive x-axis.

In what direction does the derivative receive maximum value and in what direction does the derivative receive minimum value?

Final Answer


(\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}})

(-\frac{1}{\sqrt{2}},-\frac{1}{\sqrt{2}})

Solution

Coming soon…

Share with Friends

Leave a Reply