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Reply 1
y=52(3x1)4y = \frac{5}{2(3x - 1)^{4}} yea?
What have you done so far?
Reply 3
Use the quotient rule to differentiate it with regards to x.

Can you see where you go from here?


next time I'll actually read the question :/
(edited 13 years ago)
Reply 4
JamesyB
y=52(3x1)4y = \frac{5}{2(3x - 1)^{4}} yea?


yeayah :smile: how did you do that!?
Reply 5
Firstly, put in x = 0 so you have a set of co-ordinates; (x,y).

Now differentiate to get the gradient of the tangent.

Gradient of normal x gradient of tangent = -1

Re-arrange to find gradient of normal.

Equation of a line (normal or tangent) is in the form y - y1 = m(x - x1); (x,y) from above are x1 and y1, gradient is m.

Done! :smile:
Greeze Geez
yeayah :smile: how did you do that!?


http://www.thestudentroom.co.uk/wiki/LaTex
Reply 7
Keckers
Use the quotient rule to differentiate it with regards to x.

Can you see where you go from here?


:lolwut:
Greeze Geez
how did you do that!?


See http://www.thestudentroom.co.uk/wiki/LaTex

Edit: Too slow :frown:
(edited 13 years ago)
ghostwalker


That can never be true :smile:
boromir9111
That can never be true :smile:


Ha! If only.

Anyhow, enough off topic :smile:
Reply 11
thanks every1! i clocked just now that i have to differentiate, but im having trouble applying the rule, the 5 on the top is doing my nut in, we havent been taight this yet :/ could anybosy shw me the differentiation process or at least the result... Thanks people, truly :smile:
Reply 12
Greeze Geez
thanks every1! i clocked just now that i have to differentiate, but im having trouble applying the rule, the 5 on the top is doing my nut in, we havent been taight this yet :/ could anybosy shw me the differentiation process or at least the result... Thanks people, truly :smile:


Have you differentiated (ax+b)^n using the chain rule?

This is the same thing with a 2.5 (5/2) infront.

y = k(ax+b)^n

dy/dx = ...

:smile:
Reply 13
-beads-
Have you differentiated (ax+b)^n using the chain rule?

This is the same thing with a 2.5 (5/2) infront.

y = k(ax+b)^n

dy/dx = ...

:smile:


wait so is dy/dx 2.5(3x-1)^3 or 10(3x-1)^3???

sorry by the way people... this is what can only be desciribed as a long ting..
Reply 14
Greeze Geez
yeayah :smile: how did you do that!?


LaTeX, it's a system for typing mathematical expressions. Very, VERY useful :smile: See here for more info.

Back to the question :P How could you re-write this so that it would help make it into something easier?


EDIT: Should read other replies to thread before replying to quotes! :P
(edited 13 years ago)
Reply 15
JamesyB
LaTeX, it's a system for typing mathematical expressions. Very, VERY useful :smile: See here for more info.

Back to the question :P How could you re-write this so that it would help make it into something easier?


EDIT: Should read other replies to thread before replying to quotes! :P


Fam, is this is this right>> dy/dx = -40(3x-10)^-5??
(edited 13 years ago)
It is worth just knowing how to write down the answer for the derivative of a linear function raised to a power.

y=k(ax+b)ny = k (ax + b)^n

dydx=kan(ax+b)(n1)\frac{dy}{dx} = kan (ax + b)^{(n-1)}
(edited 13 years ago)
Reply 17
Mr M
It is worth just knowing how to write down the answer for the derivative of a linear function raised to a power.

y=k(ax+b)ny = k (ax + b)^n

dydx=kan(ax+b)(n1)\frac{dy}{dx} = kan (ax + b)^{(n-1)}


Oh i see, yh it was the k that was doing me in, we hadnt worked on examples with "k" involved, so i take dy/dx is now -30(3x-1)^-5??
(edited 13 years ago)
Greeze Geez
Oh i see, yh it was the k that was doing me in, we hadnt worked on examples with "k" involved, so i take dy/dx is now -30(3x-1)^-5??


Yes
Reply 19
Greeze Geez
Oh i see, yh it was the k that was doing me in, we hadnt worked on examples with "k" involved, so i take dy/dx is now -30(3x-1)^-5??


Yup!

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