Friday

December 19, 2014

December 19, 2014

Posted by **Lucy** on Monday, February 27, 2012 at 12:58am.

a)find the unit vector in direction of p.

b) find the directional derivative at p in the direction of <0,-1/(sqrt2),-1/(sqrt2)>

- cal3 -
**Steve**, Monday, February 27, 2012 at 12:52pm|

**p**| = √(4+1+1) = √6**u**=**p**/|**p**| = (2/√6,-1/√6,1/√6)

Now, with**u**= <0,-1/√2,-1/√2)>

∇<sub<**u**f = ∇f•**u**

= (y+z)(0) + (x+z)(-1/√2) + (x+y)(-1/√2)

= (0)(0) - 1/√2 (2+1) - 1/√2 (2-1)

= -4/√2 = -2√2

- cal3 -
**Lucy**, Monday, February 27, 2012 at 7:07pmOh crap typo error, should read find the unit vector in direction of maximum increase of f in the direction of P.

**Answer this Question**

**Related Questions**

cal3 please help not too hard of a problem - Consider the function f(x,y)=xy+xz+...

Calc - "Let f(x,y)=2(x^2)y-(y^3)+x-4. a) Find the local linearization of f at (3...

Precalculus - Given: f(x) = X^2-x evaluate: f(sqrt2 + 3) I have worked out this ...

Algebra II (check) - Assume that no denominator equals 0. sqrt12 - sqrt18 + ...

calculus - Find a unit vector U such that the rate of change of f in the ...

Calculus Help!!!! - Fnd the derivative if y=x^(1+sqrt2) Is this right (1+sqrt2...

math - I have to find an exact solutions on the interval [0,pi) for both of ...

Calc - The directional derivative of z = f(x,y) at (2,1) in the direction toward...

Math - 1)Find the standard deviation of the data set to the nearest tenth. (21,...

Calculus length of curve - Hi--can anybody show me how to do this? Find the ...