Question

The function x^5 -5x^4 +5x^3 +10 has

only a maximum only minimum both maximum and minimum

Answer 1

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

Answer 2

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

Answer 3

the order of \(x^5\) is 5 which is an odd number,
odd ordered functions

Answer 4

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

Answer 5

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.

Answer 6

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

Answer 7

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

Answer 8

@FoolForMath

Answer 9

U know differentiation or not @open_study1 ?

Answer 10

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

Answer 11

YES

Answer 12

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

Answer 13

ya.

Answer 14

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

Answer 15

Yup. bt u will b abl to factorise it.

Answer 16

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

Answer 17

@ajprincess HOW TO FACTORISE LOL

Answer 18

Vat do u get ven u differentiate a number?

Answer 19

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

Answer 20

it is wrong..

Answer 21

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

Answer 22

SORRY MOT 10 IT IS 0

Answer 23

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

Answer 24

Nw can u factorise it?

Answer 25

http://www.wolframalpha.com/input/?i=x^4-4x^3%2B3x^2%3D0

Answer 26

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

Answer 27

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

Answer 28

OK X=0 X= 1 X=3 THEN

Answer 29

@anusha.p CAN U SHOW IT

Answer 30

find

\[\Large f''(0) \quad f''(1)\quad and \quad f''(3)\]

Answer 31

OK THEN

Answer 32

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.

Answer 33

THAZZZ