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Find the directions in which the function increases and decreases most rapidly at Upper P 0....

Find the directions in which the function increases and decreases most rapidly at Upper P 0. Then find the derivatives of the function in those directions.

f(x,y,z)=3ln(xy)+ln (yz)+2ln(xz) P0(1,1,1)

1. In which direction does the function increase most​ rapidly?

u=____i+_____j+____k

2. In which direction does the function decrease most​ rapidly?

-u=____i+____j+____k

3. What is the value of the derivative in the direction of u?

4. What is the value of the derivative in the direction of

minus−u​?

Math   Calculus   
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