Here's the question you clicked on:

## open_study1 Group Title The function x^5 -5x^4 +5x^3 +10 has only a maximum only minimum both maximum and minimum 2 years ago 2 years ago

• This Question is Closed
1. UnkleRhaukus Group Title

the highest order term is $$x^5$$ it will effect the over all shape of the graph

2. open_study1 Group Title

Plz DON T SOLVE THIS BY GRAPH....ANY OTHER METHOD...

3. UnkleRhaukus Group Title

the order of $$x^5$$ is 5 which is an odd number, odd ordered functions

4. dpaInc Group Title

i'm thinking you mean local maximum and local minimum because the end behaviour of this function is they go to plus/minus infinity.

5. Aadarsh Group Title

Find f'(x). Equate it to zero. Find f''(x). Substitute the values of f'(x) in f''(x), see whether it is negative or positive. If negative, local maximum and if positive, local minimum.

6. Aadarsh Group Title

@apoorvk , @srinidhijha bhai, please say whether I am correct or not.

7. open_study1 Group Title

I THINK U R CORRECT BUT HOW TO FIND F(X)

8. open_study1 Group Title

@FoolForMath

9. Aadarsh Group Title

U know differentiation or not @open_study1 ?

10. ajprincess Group Title

f(x)= x^5 -5x^4 +5x^3 +10 f'(x)=differentiation of f(x).

11. open_study1 Group Title

YES

12. open_study1 Group Title

AFTER DIFERNTIATION WE HAVE TO EQUATE THAT TO 0 IS IT????

13. ajprincess Group Title

ya.

14. open_study1 Group Title

SO IT WILL BE IN X^4 TERMS SO HOW WILL WE SOLVE THAT???

15. ajprincess Group Title

Yup. bt u will b abl to factorise it.

16. open_study1 Group Title

x^4-4X^3+3X^2+10=0

17. open_study1 Group Title

@ajprincess HOW TO FACTORISE LOL

18. ajprincess Group Title

Vat do u get ven u differentiate a number?

19. open_study1 Group Title

5X^4-20X^3+15X^2+10

20. cinar Group Title

it is wrong..

21. cinar Group Title

x^4-4x^3+3x^2

22. open_study1 Group Title

SORRY MOT 10 IT IS 0

23. open_study1 Group Title

x^4-4X^3+3X^2=0

24. ajprincess Group Title

Nw can u factorise it?

25. cinar Group Title
26. cinar Group Title

$\Large f''(x)=4x^3-15x^2+6x$

27. anusha.p Group Title

let it be f(x) differentiate wrt x.........and equate to zero solve for x value again diferrentiate the differentiated one and substitute the x value...... if u get positve value,it has minima and vice-versa

28. open_study1 Group Title

OK X=0 X= 1 X=3 THEN

29. open_study1 Group Title

@anusha.p CAN U SHOW IT

30. cinar Group Title

find $\Large f''(0) \quad f''(1)\quad and \quad f''(3)$

31. open_study1 Group Title

OK THEN

32. cinar Group Title

The function has a minimum value at x = a if f '(a) = 0 and f ''(a) = a positive number. The function has a maximum value at x = a if f '(a) = 0 and f ''(a) = a negative number.

33. open_study1 Group Title

THAZZZ