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Mathematics 29 Online
iwanttogotostanford:

help please= calc!

iwanttogotostanford:

Differentiate y equals the quotient of the quantity 1 plus sine x and the quantity 1 minus cosine x. –1 –2csc(x)sec(x) 2csc(x)sec(x) the quotient of negative 1 times sine x plus cosine x minus 1 and the square of the quantity 1 minus cosine x

iwanttogotostanford:

@SkyVoltage43 @Bob @Yinshy

celticcat:

derivative of ( 1 + sinx ) / ( 1- cos x) right?

iwanttogotostanford:

yep @celticcat

iwanttogotostanford:

would it be C here? @celticcat

iwanttogotostanford:

@JustSaiyan @Ultrilliam

celticcat:

you use the quotient rule yes looks like

iwanttogotostanford:

i did, and i got C/ can you confirm?

celticcat:

dy/dx = (1 - cos x)(cos x) - (1 + sinx) sinx / (1 - cos x)^2 = -sin x / (1 - cos x)^2

celticcat:

yes C

celticcat:

OK?

celticcat:

hold on doesnt look the same let me re check

celticcat:

let me re check that

iwanttogotostanford:

can i ask another question?

celticcat:

yes i made an error on the last step it should be - sinx + cos x - 1


(1 - cos x)^2 which is C

iwanttogotostanford:

Find the limit as h goes to 0 of the quotient of the quantity 3 times the square of the quantity x plus h, plus 7 minus the quantity 3 times x squared plus 7, and h. 6x 3x2 + h2 + 7 3x2 + 7 6x + 7

iwanttogotostanford:

@celticcat i still need help with this question please

iwanttogotostanford:

;-)

iwanttogotostanford:

sorry: Find the limit as h goes to 0 of the quotient of the quantity 3 times the square of the quantity x plus h, plus 7 minus the quantity 3 times x squared plus 7, and h. 6x 3x^2 + h^2 + 7 3x^2 + 7 6x + 7

iwanttogotostanford:

that looks better^^^

celticcat:

what!! i just posted an answer and it disappeared!!!! anyway C is correct

iwanttogotostanford:

i know... its weird. anyways thank you! and can you help me please with the question i just asked above^^?

celticcat:

yes but i have to go for a few minutes

iwanttogotostanford:

ok please hurry if you can haha:-)

celticcat:

im haveing a hard time converting the written problem I think it s limit of 3(x + h)^2 + 7 - 3x^2 + 7


? h

celticcat:

is that right?

iwanttogotostanford:

yes thats correct!

celticcat:

= 3x^3 + 6xh + h^2 - 3x^2 - 7 + 7 / h = 6xh + h^2 / h = 6x + h limit as x ---> 0 = 6x

celticcat:

* that should be 3x^2 not 3x^3

celticcat:

* 3x^2 not 3x^3

celticcat:

and limit as h ---> 0

iwanttogotostanford:

so the conclusion would be

celticcat:

gotta go right now 6x

iwanttogotostanford:

6x? oh yeah i see! when will you be back?

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