Question: Is this function f(x)=3x^2-27 differentiable on the open interval (2,4) ? Yes or no also show how ? Please

Is this function f(x)=3x^2-27 differentiable on the open interval (2,4) ? Yes or no also show how ? Please

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock 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 Mathematics Questions!

Q:

4.2 Homework - The Mean Value Theorem (Homework) 1. [-/1 Points] DETAILS SCALCET9 4.2.016.EP. MY NOTES ASK YOUR TEACHER Consider the following function and closed interval. f(x) = x5 - 3x + 9, [-2,...

Q:

Consider the following function and closed interval. f (x ) = x3 - 3x+ 4, [-2, 2] Is f continuous on the closed interval [-2, 2]? Yes, it does not matter if fis continuous or differentiable; every...

Q:

PLEASE ANSWER ALL QUESTIONS AND MAKE WRITING CLEAR 3 _ ForfOC) = % does the Mean Value theorem apply on the interval [0, 2] and why? 0 The Mean Value Theorem does not apply because x) is not...

Q:

Find all absolute and relative extreme values of the function f(:c) = 2:3 + 6, on the interval [0, 3]. O The absolute maximum is f(3) = 33 and the absolute minimum is f(1) = T. 0 The absolute maximum...

Q:

The graph of a function f is shown. yA Does f satisfy the hypotheses of the Mean Value Theorem on the interval [0, 5]? O Yes, because f is continuous on the closed interval [0, 5] and differentiable...

Q:

1. [-/3 Points] DETAILS LARCALC9 3.2.005. Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two x-intercepts. f( x ) = x2 - 2x - 15 ( x, y ) = ( (smaller...

Q:

Given that lim f(x) = 0 x - a lim g(x) = 0 x - a lim h(x) = 1 x - a lim p(x) = 0o x- a lim q(x) = 0o, x-a evaluate if the following limits are not indeterminate forms. (If a limit is indeterminate,...

Q:

Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that f(a) = f(b). (Select all that apply.) f(x) = 1 - |x - 1|, [0, 2] There are points on the interval...

Q:

Find the two x-intercepts of the function f and show that f (x) = 0 at some point between the two x-intercepts. f(x) = x2 - 2x - 15 ( x, y ) = ( -3,0 ) (smaller x-value) ( x, y ) = ( 5,0 ) (larger...

Q:

Consider the graph of the function f (x) = x- - x - 20. (a) Find the equation of the secant line joining the points (-3, -8), and (5, 0). (b) Use the Mean Value Theorem to determine a point c in the...

Q:

In Town named Malgudi there is famous zoo. The number of people who visits the zoo on Sundays is 250 whereas the number of people who visits the zoo on the other days of week is 100 only. If a month...

Q:

A bank s balance sheet information is shown below ( in $ 0 0 0 ) . On - Balance - Sheet Items Face ValueCash$ 1 3 6 , 6 0 0 Short - term government securities (

Q:

(44) A machine costing $67,650 with a 5-year life and $62,309 depreciable cost was purchased January 1. Compute the yearly depreciation expense using straight-line depreciation. Round your answer to...