Question

Let f(x,y)= 3- x^2/10+(xy^2)/10 . compute: a.) “del” ( upsidedown delta)f(3,-1) b.)D (sub)u f(3,-1), where u=<3,4>

Answer 1

\[\nabla f=<f_x,f_y>\]

Answer 2

hard to say how to proceed tho since i cant get a good read on your f(x,y)

Answer 3

thats interesting, the gradient point to the local maximum of the function; so if you follow the direction of the gradient you reach teh maximum

Answer 4

http://betterexplained.com/articles/vector-calculus-understanding-the-gradient/

the name i think is misleading tho, but its got some good stuff towards the end :)

Answer 5

\[ 3- (x^2/10)+((xy^2)/10)\]