Derivative of Unknown variable=0?

We have moved!

We want to extend a heartfelt thanks to everyone who has made the original ATAR Notes forum such a helpful, warm and welcoming place. Your contributions are appreciated and we will be leaving the forum in archive mode for posterity.

Please visit our new website and discussion area.

Welcome, Guest. Please login or register.

Print

Pages: [1] Go Down

Author Topic: Derivative of Unknown variable=0? (Read 504 times) Tweet Share

0 Members and 1 Guest are viewing this topic.

kenhung123

Victorian
ATAR Notes Legend
Posts: 3373
Respect: +7

Derivative of Unknown variable=0?

« on: June 13, 2010, 01:24:12 pm »

0

When I tried to find $\frac{\mathrm{d} \sqrt{x^{2}\pm a^{2}}}{\mathrm{d} x}$ I got $\frac{x\pm a}{\sqrt{x^{2}\pm a^{2}}}$

But the answers don't have $a^{2}$ does it mean any variable that isn't x disappears like constants?

Logged

Blakhitman

Victorian
Part of the furniture
Posts: 1954
Respect: +7

Re: Derivative of Unknown variable=0?

« Reply #1 on: June 13, 2010, 01:56:06 pm »

0

Well you are differentiating with respect to $x$ so any constant that doesn't have the variable x has a derivative of 0 yes.

Think about it, $a$ can be rewritten as $ax^{0}$ try differentiating that and you get a big fat zero.

Logged

kenhung123

Victorian
ATAR Notes Legend
Posts: 3373
Respect: +7

Re: Derivative of Unknown variable=0?

« Reply #2 on: June 13, 2010, 02:23:34 pm »

0

Why are you so smart?

Logged

Recent Posts

Re: Accelerated VCE reasoning by Aaron (VIC Year 9 Discussion): July 22, 2022, 06:38:54 pm
Accelerated VCE reasoning by leeknow2 (VIC Year 9 Discussion): July 22, 2022, 06:14:52 pm
Re: English Extension 1 Resources Thread by FloraD (HSC English Extension 1): July 22, 2022, 06:09:01 pm
Re: 35 study score after bombing 2 SACs? by james.358 (VCE Mathematical Methods CAS): July 22, 2022, 03:10:24 pm
35 study score after bombing 2 SACs? by Ickajock (VCE Mathematical Methods CAS): July 22, 2022, 02:04:47 pm
Re: SHS Exam 2023, What timing slot by HiKal (Selective Schools Admissions Tests): July 22, 2022, 10:41:33 am
Re: Exam is practically tomorrow lolll by HiKal (Selective Schools Admissions Tests): July 22, 2022, 10:40:47 am
Re: Photosynthesis by angelabean (VCE Biology): July 22, 2022, 10:12:54 am
Re: Exam is practically tomorrow lolll by AAAHHHpraying (Selective Schools Admissions Tests): July 22, 2022, 09:43:27 am
Re: VCE English Language Question Thread by schoolstudent115 (VCE English Language): July 22, 2022, 12:09:02 am

Print

Pages: [1] Go Up