Question: The third derivative of a function f(x) is the derivative of the second derivative f(x) and is denoted by f(x). Compute f(x) for the following

The third derivative of a function f(x) is the derivative of the second derivative f″(x) and is denoted by f″′(x). Compute f″′(x) for the following functions:

(a) f (x) = x⁵ - x⁴ + 3x

(b) f (x) = 4x^5/2

Step by Step Solution

★★★★★

3.44 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a b fxxx 3... View full answer

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 Applied Calculus Questions!

1. Draw the C4HBr isomer which gives rise to each spectrum below. (Note: each spectrum (a-c) shows a different isomer!) 8. 8 6 4 8 (ppm) 0 The peak around 4 is a sextet and the peak just upfield of 2...

Find the values of x and y so that the equation below applies: (1-x) y 3 (749)-(49) 2x 5 = (y -3y x-y -1 6 y +5 -1 y 6

1. Which of the following does not belong to the group? c. d. derivative of a function a. tangent of inclination b. ratio of rate of change in y and x 2. In figure 1, which of the following is true?...

The third derivative of a function f x is the derivative of the second derivative f x and is denoted by f x Compute f x for the following function f x 5x5 4x4 7x f x

Econ 289 Assignment 2 (Sections 4.1-4.5) Questions Solve all questions, showing your work in reasonable detail. Finish your calculations: when the results can be reduced to numbers, calculate those...

Math 131 (Calculus I) Department of Mathematics North Carolina A&T State University Practice Test 2 (Version A) Name: __________________________________________ Class:___________________...

13. [-/1 Points] DETAILS TANAPCALC10 3.2.004. Find the derivative of the function. F( x ) - (5x + 6)(6x - 7) Fi ( X ) : Need Help? Read It 14. [-/3 Points] DETAILS TANAPCALC10 3.2.004.EP. Consider...

3. Complete the following statement.(6pts.) a. The following limits represent the derivative of some function f (x) at some number a . lim (2 + h) - 1 h-+0 h Then , the corresponding function f (x) =...

Issuance of a new International Accounting Standard requires approval of at least a. 5/7 of the board b. 2/3 of the board c. 3/4 of the board d. 5/6 of the board

a. Assess the merits of Muddy Waters claims of too low churn rate and per unit loss and their impact on the financial statements. b. What is your intrinsic or fundamental valuation. Use the valuation...

what must be include in a language to be classified as object - oriented

The following program has several syntax errors as well as style inconsistencies. Correct the syntax errors and identify the style violations. namespace Chapter2 { { } class converter { static void...

Write the Leibniz notation for the derivative of the given function and include units. The number, N, of gallons of gas left in a gas tank is a function of the distance, D, in miles, the car has been...

On Figure 2.74, mark lengths that represent the quantities in parts (a)(e). (Pick any , with > 0.) (a) a + (b) (c) f(a) (d) f(a + ) (e) f(a+)f(a) (f) Using your answers to parts (a)(e), represent...

At one of the labeled points on the graph in Figure 2.46 both dydx and d 2 ydx 2 are negative. Which is it? y A B C D E Figure 2.46 - x

Last drop down options: high or low To be profitable, a firm has to recover its costs. These costs include both its fixed and its variable costs. One way that a firm evaluates at what stage it would...

Given the flowing: Cash = $3,750; Accounts Receivable = $8,680; Accounts Payable = $4,415; Short-term debt = $690; Inventory = $4,360. What is Net Working Capital? Multiple Choice O $11,685 $4,265 O...

Suppose you are a British venture capitalist holding a major stake in an e-commerce start-up in Silicon Valley. As a British resident, you are concerned with the pound value of your U.S. equity...