Question

H E L P .. Me with this ONE 8]

#Find p so that the curve f(x) = x 3 + 2 x 2 + p x + 3 has one horizontal tangent line only.

# Find the value of x where this tangent line occurs.

(\_/)
(O_O)
.(v v)

Answer 1

And i wanna understand How u Did it =.=

Answer 2

have u done derivatives?

Answer 3

ok... so you find the 1st derivative

let it equal zero and then solve...

Answer 4

O_O yeah .. but what is the point of doing the derivative

Answer 5

=..= i feel so dump like never before :B

Answer 6

well the derivatives give the stationary points on a curve... or the equation of the gradient of the tangent....

Answer 7

but its an interesting question as the curve has only 1 max or min... or point where the gradient of the tangent = 0

Answer 8

>_ > u know i should ask my teacher .. -_- it will be Better and easier :]

Answer 9

take the first derivative and put equal to 0 , you will get an equation with "p" in it call this eq1..
then take the second derivative and put it equal to 0 , from here u will find the value of "x"
susbstitute this value of x in eq1. you will get the value of p

Answer 10

whats the P anyway o_o

Answer 11

its a coefficient of the term in x...

Answer 12

ohh i see :l .. uhh calculus :B

Answer 13

yep.... all that rates of change stuff

Answer 14

but i need to practice more . u kNoW <>_ <>

Answer 15

Thanks anyway X3 .. thank you all guys <3 X]

Answer 16

you're welcome

Answer 17

XP

Answer 18

I thought you were going to say something Mr. CamPbEll >_ >

Answer 19

the solution @nubeer gave works, you get a horizontal point of inflexion... as the only stationary point on the curve

Answer 20

^_^ hehehe .. iim so dump to understand this .. just don't :P