Question

Prove that the function f(x,y) is differentiable at (0,0) by using epsilon-delta method. (1) f(x,y) =...

Prove that the function f(x,y) is differentiable at (0,0) by using epsilon-delta method.

(1) f(x,y) = x+y+xy

(2) f(x,y) = sin(xy)

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
use the epsilon-delta definition to prove that limit (x,y) goes to (-1,-4) -3x+y=-1
use the epsilon-delta definition to prove that limit (x,y) goes to (-1,-4) -3x+y=-1
prove the statement using the epsilon delta definition of a limit lim x-->2 (x^2-2x+7)=1
prove the statement using the epsilon delta definition of a limit lim x-->2 (x^2-2x+7)=1
Prove that the function f(x) = |x| is not differentiable at zero, and show that the...
Prove that the function f(x) = |x| is not differentiable at zero, and show that the function g(x) = |x|*x is differentiable at zero.
Prove that if f(x) is a continuous function and f(x) is not zero then g(x) =...
Prove that if f(x) is a continuous function and f(x) is not zero then g(x) = 1/f(x) is a continuous function.   Use the epsilon-delta definition of continuity and please overexplain and check your work before answering.
Please prove the following (using epsilon/delta proofs) formally and clearly: For Xn given by the following,...
Please prove the following (using epsilon/delta proofs) formally and clearly: For Xn given by the following, prove the convergence or divergence of the sequence (Xn): a) Xn = n2/(2n2+1) b) Xn = (-1)n/(n+1) c) Xn = sin(n)/(n2+1)
let f(x) = 3x3 - 2 and let epsilon>0 be given Find a delta so that...
let f(x) = 3x3 - 2 and let epsilon>0 be given Find a delta so that |x -1 |<=delta implies |f(x) -1|<=epsilon
Suppose f is a differentiable function of x and y, and g(u, v) = f(eu +...
Suppose f is a differentiable function of x and y, and g(u, v) = f(eu + sin(v), eu + cos(v)). Use the table of values to calculate gu(0, 0) and gv(0, 0).      f     g     fx     fy     (0, 0)   0 5 1 4   (1, 2)   5 0 6 3 gu(0, 0) = gv(0, 0) =
if the function f is differentiable at a, prove the function f is also continuous at...
if the function f is differentiable at a, prove the function f is also continuous at a.
Use the formal definition of limit (epsilon-delta definition) to prove that lim x--> 3 (x^2 +...
Use the formal definition of limit (epsilon-delta definition) to prove that lim x--> 3 (x^2 + 5x) = 24.
Use an epsilon-delta argument to show f(x) = 2x^2 - 1 is continuous at every a...
Use an epsilon-delta argument to show f(x) = 2x^2 - 1 is continuous at every a ∈ ℝ.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT