Mathematics
Calculus
Prove that if f: Rn → Rm is differentiable

Prove that if f: Rn → Rm is differentiable

Prove that if f: Rn → Rm is differentiable at a € Rn, then it is continuous at a.

Students also viewed these Calculus questions

A function f: R2 → R is said to be independent of the second variable if for each x € R we have f (x, y1) = f (x, y2) for all y1, y2. €R Show that f is independent of the second variable if and only if there is a ...

Let f: Rn →R be a function such that | f (x) | ≤ |x|2 . Show that f is differentiable at 0

Le Ei, i = 1,., k be Euclidean spaces of various dimensions. A function f: E1 X. X Ek→Rp is called multi linear if for each choice of xj € Ej, j ≠ I the function f: Ei→Rp defined by g(x) = f(x1,.,xi-1, ...

Let A= {x, y}: x

a. Let f : R → R be defined by F (x) = {x 2 sin 1/x) x ≠ 0, 0 x = 0.

Members

Access to 1 Million+ Textbook solutions
Ask any question from 24/7 available
Tutors

$13.99

VIEW SOLUTION

Already member? Sign In

OR

Non-Members

Access to 1 Textbook solution only

$ 2.99

NO, THANKS

Active Now

How Can I Help You ?

Sample Text: Please assist me with this math problem. I am having difficulties. Thank You!? Homers Pizza is advertising the following deal:3 pizzas, up to 4 toppings each, 10 toppings to choose from 3 soft drinks, 5 varieties to choose from total cost $24.99. The pizza toppings must be unique double, triple, or quadruple toppings are not allowed.
How many integer solutions are there to the equation
x1 + x2 + 2x3 + x4 + x5 = 72
when
(a) xi 0,i = 1,...,5
(b) xi 1,i = 1,...,5

Question description should have minimum of 50 characters

5000

Attach file(s)

Allow other relevant tutors to answer my question

Prove that if f: Rn → Rm is differentiable

Members

OR

Non-Members

Get In Touch

Company Info

Services