Question

a= 1, b =6 , c= 4 T(x,y,z) =(x^2 )y +(y^2 )z Find the directional derivative...

a= 1, b =6 , c= 4

T(x,y,z) =(x^2 )y +(y^2 )z

Find the directional derivative of T at the point (a − 1, a, a + 1) along

the direction of the vector < a, b, c >.

Math   Calculus   
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Answer #1

we have

at the point (a-1,a,a+1)

if be the unit vector in the direction of the vector then

therefore the required directional derivative is

given a=1, b=6, c=4 then

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