Skip to main content
P

The derivative of f(x) = (x^4/3) – (x^5/5) attains its maximum value at x =?

SHOW ALL WORK!!the answer choices areA. -1B. 0C.1D. 4/3 E. 5/3
0
Save

7 Answers

M
Major Spinka DVM

Feb 20, 2025

f(x) = (x^4/3) – (x^5/5)f'(x) = 12x^3/9 – 25x^4/25f'(x) = 4x^3/3 -x^4Solve max/min by setting f'(x)=0f'(x) = 4x^3/3 -x^40 = 4x^3/3 -x^40 = x^3 ((4/3)-x)x=0, 4/3Check if x=0 or x=4/3 is the max:f(x) = (x^4/3) – (x^5/5)f(0) = 0f(4/3) = ((4/3)^4/3) – ((4/3)^5/5) = ~.21Therefore, at x=0, there is a maximum.[Answer: B]... Show More
0
M
Major Spinka DVM

Feb 20, 2025

1st derivitive is (4/3)x^(1/3) – 1 it’s max is when that derivitive is = 02nd derivitive is (4/9)x^(-2/3)so x = 0 is when it is max... Show More
0
M
Major Spinka DVM

Feb 20, 2025

a) differentiate f(x) b) equate the dy/dx to 0, because when dy/dx=0 , f(x) has maximum value.c) solve the equation dy/dx = 0… to get the value of x... Show More
0
M
Major Spinka DVM

Feb 20, 2025

If this is for homework. Do it yourself. You will never learn anything if you don’t try it yourself.... Show More
0

Want to answer this question?

Join our community to share your knowledge!

Log in Sign up

Categories

Tags

Related Questions

5
The Destructors Part 1! Help! English! Behind!?

The most likely reason the boys refer to Mr. Thomas as "Old Misery" is because (1 point)his posture is stooped and missh...

6
The details of the excerpt show that Rainsford knows he will join the hunt the next day. will become Zaroff’s prey. is trapped in

The details of the excerpt show that Rainsford knows he will join the hunt the next day. will become Zaroff’s prey. is t...

10
The diagram shows several planes, lines, and points.

According with the diagram and using the definitions of planes, lines, and points, the statement true about line h is:d....

2
2
The difference between total receipts and total payments?

The difference between total receipts and total payments is referred to asa. cumulative cash flowb. beginning cash flowc...

2
The difference between “Where are you all?” and “Where are you?”?

Here are the two sentences again: “Where are you all?” and “Where are you?”Does the first sentence emphatically tell tha...

3
4
1
The distance from the sun to Mars is 2.279×108 km.?

The distance from the sun to Mars is 2.279×10^8 km. How long does it take light to travel from the sun to Mars?

2
The distance you travel from seeing the danger to putting your foot on the brake pedal is known as

The distance you travel from seeing the danger to putting your foot on the brake pedal is known as