Exercise 4:[Challenge] Letf be a function that is everywhere differentiable. Prove that f' has no jump dis- continuities or removable discontinuities. Remark: I consider this exercise important, since it shows that there exist many functions that are not the derivative of another function. We will show next quarter that every continuous function is the derivative of some function.

Q: 6+w=4

A: The give equation is 6 + w = 4To find the value of w.

Q: 3y² - 2y-1 (-)-5y²- 2y +6

A:

Q: 0*1=?

A: The product of zero(0) with any finite real number equal zero.  That is 0*n = 0, when n is a finite…

Q: 10+7=?

A:

Q: 12 R 10 5

A:

Q: 24 = 3 + y

A: We have to solve the given expression for y. The expression is 24=3+y.

Q: Rang lertex = (-7;3) qu'od

A: The quadratic function has vertex (-2,3) and a point on graph 1, 12

Q: (-3)² ÷ 3 • (5 - 10 + -8)

A:

Q: ex- 12

A: Given: y=ex-12 we know that am-n=aman

Q: Find g C4

A: Here we have to find the value of 9C4.

Q: 30 = 6 + z z =

A: Given : 30  = 6+z

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.