Question for directional derivative.

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Hardik Sakpal
Hardik Sakpal 2020 年 10 月 28 日
回答済み: KSSV 2020 年 10 月 28 日
How to solve the following question in matlab?
u(x1,x2) = x1^2 - x2^2. Calculate the derivative of u in the direction n = (8,-8) at the point (1,1).

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回答 (1 件)

KSSV
KSSV 2020 年 10 月 28 日
u = @(x1,x2) x1^2-x2^2 ;
% derivatives at point (1, 1)
x1 = 1 ; x2 = 1 ;
% derivatives
dudx1 = 2*x1 ;
dudx2 = -2*x2 ;
dudx = [dudx1 dudx2] ;
% directional derivative along (8,-8)
v = [8 -8] ;
uv = v/norm(v) ;
iwant = dudx.*uv
For theory refer: https://mathinsight.org/directional_derivative_gradient_examples

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