## [SPLIT, MOVED] finding derivative of complicated expression

Limits, differentiation, related rates, integration, trig integrals, etc.

### [SPLIT, MOVED] finding derivative of complicated expression

Brilliant, maggiemagnet - thank you so much

I am having another one, costing me some trouble

I would appreciate if someone could show me this ^^
mrtn

Posts: 4
Joined: Fri Apr 19, 2013 9:43 am

mrtn wrote:I am having another one, costing me some trouble
$TC\, =\, \left(\frac{d}{Q}S\right)\, +\, \left(\frac{d}{q}a\right)\, +\, \left(\frac{h}{2}q\, +\, \frac{h}{2}Q\, -\, \frac{h}{2}\times \frac{d}{p}Q\right)$

$\mbox{Show that }\, \frac{dTC}{dQ}\, =\, \sqrt{\frac{2Sd}{h\left(1\, -\, \frac{d}{p}\right)}}$

On what basis are you thinking that the posted "answer" is correct? Since there is a "d" variable in both the numerator and denominator of the left-hand side, it would appear that this is not completely simplified. (Were you in a more-advanced course, I would suspect that the answer represented a derivative.)

mrtn wrote:I would appreciate if someone could show me this ^^

stapel_eliz

Posts: 1715
Joined: Mon Dec 08, 2008 4:22 pm

### Re: Simplify expression

Does that make any sense?

mrtn

Posts: 4
Joined: Fri Apr 19, 2013 9:43 am

### Re: [SPLIT, MOVED] finding derivative of complicated express

Since your variable appears to be "Q", then "q" would be regarded (for purposes of differentiation) as a constant -- unless there is additional information for this exercise which has, to this point, been omitted.

Assuming this is correct, then your derivative of the first term within the third parenthetical on the right-hand side of the original equation should be reconsidered.

Thank you.
nona.m.nona

Posts: 254
Joined: Sun Dec 14, 2008 11:07 pm