Question

Find the derivative of f(x) = -6/x at x = 12.

Answer 1

a/12?

Answer 2

First set it
\[f(x)=\frac{6}{x} \\ f(x)=6x^{-1}\]
Then use power rule, power rule is
\[\frac{d}{dx}(ax^n)=nax^{-1}\]

Answer 3

derivative of f(x) = -6/x
=-6x^-1
=-6(-1)x^-2
=6x^-2
=6/x^2
=6/144

Answer 4

Don't forget the minus sign,
\[f(x)=-\frac{6}{x}\]

Answer 5

d/dx(6x^-1) = n(6)(1/x) = (6/x)n

Answer 6

right -6/xn

Answer 7

kitty where do i go from there?

Answer 8

i simplify?

Answer 9

to 1/24

Answer 10

see remeber this formula
wheverver u are having in this for \[x ^{n}\] then write in this form
\[nxn ^{-1}\]

Answer 11

That's the answer, but you will need to simplify that

Answer 12

for=form

Answer 13

do u still having problem ? :)

Answer 14

okay I see. I have another one that is for derivative but it has the value of (t) in it. can u help?

Answer 15

okay :)

Answer 16

lol ater answering urs i will do mine work that is study :)

Answer 17

The position of an object at time t is given by s(t) = 1 - 10t. Find the instantaneous velocity at t = 10 by finding the derivative.

Answer 18

sorry kid something happened to my computer now let me write :)

Answer 19

oh lol no problem

Answer 20

ds/dt=v
s(t) = 1 - 10t
ds/dt= d(1-10t)/dt ...........(differentiate it with respect to t)
v=-10 ?????

Answer 21

is that the answer ?

Answer 22

1-10t
d(1-10t)/dt =
1-10 =
-9?

Answer 23

see the derivative of constant is always zero here 1 is constant

Answer 24

I dont know...

Answer 25

write it now in this form
d(1-10t)/dt = d(1)/dt - d(10t)/dt
=0-10=-10 :)

Answer 26

d(1-10t)/dt = d(1)/dt - d(10t)/dt = 0-10 = -10 :)

Answer 27

kid see this example
2t^2 - 3t +3

differentiation of 2t^2 =2d(t^2)/dt = 2*2t=4t
-d(3t)/dt=-3
d(3)/dt
=0
:)simple :) u need practice :)

Answer 28

So -10 is the answer?

Answer 29

yeah i think so :) lol well i thi yes
but still having doubt coz it's a simple question :O

Answer 30

hey kid do u need software for help

Answer 31

i studied that last yr (previous one)

Answer 32

You doubt the answer because its so easy lol?

Answer 33

yeah lol

Answer 34

uhh okay you are on one lol. Thank you so much ! you deserve best answer x10

Answer 35

kid i can give u list of site which will help u :)
do u want ?
lol hey kid today is mah first day :P

Answer 36

i answer mostly on yahoo answers :) here is me lol
http://in.answers.yahoo.com/activity?show=A7pnZeoWaa

Answer 37

Ohhhh okay cool! I used to be on there!

Answer 38

sites- http://easycalculation.com/

Answer 39

oh u r familiar with taht site :)

Answer 40

http://calculator.tutorvista.com/

Answer 41

see there is solver for derivative also :)

Answer 42

http://calculator.tutorvista.com/derivative-calculator.html
http://www.wolframalpha.com/widget/widgetPopup.jsp?p=v&id=f4ccdf86d504bc91f8652fa6d7b76db6&title=Derivative%20Calculator&theme=blue&i0=1st&i1=-6%2Fx&podSelect=&includepodid=Input&podstate=Input__Step-by-step%20solution&showAssumptions=1&showWarnings=1
@kjuchiha see this :)

Answer 43

u can use wormalpha ,algebra solver
just type ______ solver on search bar _____= derivative,limits, algebra ,can be anything

Answer 44

@kittycat01 Thanks I see it now :D