Differential Operators and Δ Flashcards
1
Q
What are the partial derivatives of
f(x) = x1e1 + x2e2?
A
2
Q
What is the partial derivative of the following w.r.t each xa
A
3
Q
What is the derivative of f(x(t)) in two dimensions?
A
4
Q
Write the following as an operator.
A
5
Q
Write the following as a scalar product.
A
6
Q
What are the first and second brackets known as from the following.
A
- First is dx/dt which is the trangent to the curve C
- Second bracket is the grad f, _∇_f
7
Q
What is the symbol for the gradient of f?
A
_∇_f
8
Q
Write the following in operator form
A
9
Q
Write the following in a shorter way.
A
10
Q
What is the derivative of
x(t) = x1(t)e1 + …. + xn(t)en?
A
11
Q
What is ∇ called?
A
Dell operator, nabla
12
Q
Define ∇.
A
13
Q
What is the operator form for the derivative of x(t)?
A
