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Where has the 'X' gone???

where has the x gone from xln7 to the next step im confused?
big.doc156.2KB
Reply 1
Avatar for refref
refref
Looks like a typo (the derivative cant just be a constant for an exponential graph).

Oh I thought it was saying the derivative was just ln7 ^^ nvm
Reply 2
Avatar for James
James
14
Differentiate both sides with respect to y, then rearrange.
Reply 3
Avatar for mathslover786
mathslover786
OP
oh i think i get it .....have they turned x>>>>>>>>>>1 by diffrentiating it?
Reply 4
Avatar for lynseyx
lynseyx
The X disapeared as it should. X multiplied by a number differentiated gives you the number without the X, therfore ln7. It wouldn't be just a constant because you'd multiply be y to get dy/dx = yln7, I think?
Reply 5
Avatar for refref
refref
mathslover786
oh i think i get it .....have they turned x>>>>>>>>>>1 by diffrentiating it?


Theyve just differentiated both sides. On the left hand side they've used the product rule, on the right just imagine y = cx where c is a constant, the gradient (or derivative) of this is just c because its a straight line. The constant in this case is ln7.
Reply 6
Avatar for mathslover786
mathslover786
OP
Xln7 same as ln7 X?.....so when you diffrentiate you are left with just the number? have i got that rite?
Reply 7
Avatar for refref
refref
mathslover786
Xln7 same as ln7 X?.....so when you diffrentiate you are left with just the number? have i got that rite?


xln7 =/= ln(7x) read my post above
Reply 8
Avatar for rukouine88
rukouine88
Hope this helps....:smile:
Q.pdf194.7KB
mathslover786
where has the x gone from xln7 to the next step im confused?


it didn't love you back, so it ran off.
Reply 10
Avatar for rukouine88
rukouine88
Tinkerbelle &#9829
it didn't love you back, so it ran off.


lol

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