Question: Is every continuous function differentiable? Is every differentiable function continuous? Explain.

Is every continuous function differentiable? Is every differentiable function continuous? Explain.

Step by Step Solution

★★★★★

3.54 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Every continuous function is differentiable almost everywhere but not everywhere A function is said ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus With Applications Questions!

Q:

(a) Sketch the graph of a function that has a local maximum at 2 and is differentiable at 2. (b) Sketch the graph of a function that has a local maximum at 2 and is continuous but not differentiable...

Q:

Every continuous bilinear function f: X Y Z is differentiable with Df[x, y] = f(x, ) + f(, y) that is, Df[x0, y0](x, y) = f(x0, y) + f(x, y0)

Q:

Explain why each function is continuous or discontinuous. (a) The temperature at a specific location as a function of time (b) The temperature at a specific time as a function of the distance due...

Q:

Hello tutors, can I please get your help regarding the following question. It uses points (1) through (18) as reference. Please let me know what you think, thank you. Rules (12) - (18) essentially...

Q:

MATH 1A/1B REVIEW PROBLEMS DIRECTIONS: In each problem below answer TRUE if the statement is always true and FALSE otherwise. Enter your answers on a SCANTRON form 882E or any SCANTRON form with 30...

Q:

In real analysis, the Bolzano - Weierstrass theorem states that: A ) Every bounded sequence has a convergent subsequence B ) Every continuous function on a closed interval is uniformly continuous C )...

Q:

In real analysis, the Bolzano - Weierstrass theorem states that: A ) Every bounded sequence has a convergent subsequence B ) Every continuous function on a closed interval is uniformly continuous C )...

Q:

In real analysis, the Bolzano - Weierstrass theorem states that: A ) Every bounded sequence has a convergent subsequence B ) Every continuous function on a closed interval is uniformly continuous C )...

Q:

In real analysis, the Bolzano - Weierstrass theorem states that: A ) Every bounded sequence has a convergent subsequence B ) Every continuous function on a closed interval is uniformly continuous C )...

Q:

In real analysis, the Bolzano - Weierstrass theorem states that: A ) Every bounded sequence has a convergent subsequence B ) Every continuous function on a closed interval is uniformly continuous C )...

Q:

Three years ago, Vincent Chow completed his college degree. The economy was in a depressed state at the time, and Vincent managed to get an offer of only $25,000 per year as a bookkeeper. In addition...

Q:

What is data quality, and why is it important?

Q:

10. LO.3 When can the formation of a partnership result in a taxable gain to one or more of the new partners?

Q:

7.46. Browse one or two daily newspapers such as The New York Times (hard copy or online). Copy an article about a research study that compared two groups. Prepare a short report that answers the...

Q:

For each function that is one-to-one, (a) write an equation for the inverse function, (b) graph and -1 on the same axes, and (c) give the domain and range of both f and -1 . If the function is not...

Q:

Graph the inverse of each one-to-one function. To

Q:

Graph the inverse of each one-to-one function. y

Q:

Consider the following information: a. Calculate the expected return for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g.,...

Q:

Please show step by step answer The present value of the series of dollar payments in a currency swap per $1 notional amount is $0.03. The present value of the series of curo payments in the same...

Q:

Consider the following five monthly returns. The arithmetic average monthly return over this period is 1.40% and the geometric average monthly return over this period is 1.33%. Explain the difference...