Question

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.

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
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.
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.
4a). Let g be continuous at x = 0. Show that f(x) = xg(x) is differentiable...
4a). Let g be continuous at x = 0. Show that f(x) = xg(x) is differentiable at x = 0 and f'(0) = g(0). 4b). Let f : (a,b) to R and p in (a,b). You may assume that f is differentiable on (a,b) and f ' is continuous at p. Show that f'(p) > 0 then there is delta > 0, such that f is strictly increasing on D(p,delta). Conclude that on D(p,delta) the function f has a differentiable...
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)
Consider the function g(x) = |3x + 4|. (a) Is the function differentiable at x =...
Consider the function g(x) = |3x + 4|. (a) Is the function differentiable at x = 10? Find out using ARCs. If it is not differentiable there, you do not have to do anything else. If it is differentiable, write down the equation of the tangent line thru (10, g(10)). (b) Graph the function. Can you spot a point “a” such that the tangent line through (a, f(a)) does not exist? If yes, show using ARCS that g(x) is not...
suppose f is a differentiable function on interval (a,b) with f'(x) not equal to 1. show...
suppose f is a differentiable function on interval (a,b) with f'(x) not equal to 1. show that there exists at most one point c in the interval (a,b) such that f(c)=c
Prove that if f is differentiable and monotonically increasing on D , then f′(x) ≥ 0...
Prove that if f is differentiable and monotonically increasing on D , then f′(x) ≥ 0 for all x ∈ D.
(a) Show that a differentiable function f decreases most rapidly at x in the direction opposite...
(a) Show that a differentiable function f decreases most rapidly at x in the direction opposite the gradient vector, that is, in the direction of −∇f(x). Let θ be the angle between ∇f(x) and unit vector u. Then Du f = |∇f| Correct: Your answer is correct. . Since the minimum value of Correct: Your answer is correct. is -1 Correct: Your answer is correct. occurring, for 0 ≤ θ < 2π, when θ = Correct: Your answer is correct....
Let f : R → R be differentiable with derivative f'. Prove that f(x + h)...
Let f : R → R be differentiable with derivative f'. Prove that f(x + h) = f(x) + f'(x)h + o(h), as h → 0.
If f is a differentiable function such that f ' ( x ) ≥ 8 ,...
If f is a differentiable function such that f ' ( x ) ≥ 8 , find the largest value of M so that f ( 4 ) ≥ M whenever f ( 2 ) = 3
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT