Question: onsider the following theorem.Iffis a differentiable function ofx and y, then the directional derivative offin the direction of the unit vector u=cos()i+sin()j is Duf(x,y)=fx(x,y)cos()+fy(x,y)sin().Use the

onsider the following theorem.Iffis a differentiable function ofx and y, then the directional derivative offin the direction of the unit vector u=cos()i+sin()j is Duf(x,y)=fx(x,y)cos()+fy(x,y)sin().Use the theorem to find the directional derivative of the function atPin the direction ofv.f(x,y)=x3-y3,P(6,3),v= 22 (i+j)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!