Using Differentials

Using Differentials to approximate the value (18)^(1/4).
In this video, I show the basic idea of differentials and show how they can be used to approximate values.
For more free math videos, visit http://PatrickJMT.com

Category:

Education

Tags:

• math
• calculus
• differential
• dy
• f'(x)
• derivative
• linearization
• tangent
• line
• SAT
• ACT
• BC
• AP
• justmathtutoring.com

[TheNumber2Pencil546]

math makes me go limp

[patrickJMT]

@TheNumber2Pencil546 that's what she said (about you)

[1337Bigman]

@patrickJMT So, for the sake of argument, could you have chosen a different number for x, something besides 16, and still get (33/16)?

[patrickJMT]

@1337Bigman no, if you use a different number, you will get a different approximation cause you will get a different tangent line to use as an approximation

[DanIsSoKrispy]

@patrickJMT So then why did you use 16?

[patrickJMT]

@DanIsSoKrispy cause i know the square root of 16

[patrickJMT]

it is ok. it seems that scientists have found a way to clone it, as i see lots of them at the store for sale

[SecondVelocity]

Thanks! My AP Calculus AB/BC Exam is tomorrow (the teacher made) and this really helped!

[Floydfan101]

my exam is tomorrow, so hopefully you'll see this.

at the beginning, you gave us the equation to find dy. at the end, you added dy to the original y value, which was 2.

so, to get the true change in value, is the equation dy+f(x) ???

[joshuayyc]

@patrickJMT you mean the 4th root of 16

[tastynuggets21]

thank you based patrick

[hadoolket]

i'm too lazy to check if anyone else mentioned it, but it looks like you made a small error as putting 2 = 32/2 instead of 32/16, even though you did the calculation correctly otherwise

[lucuador1992]

you are really helping me out! I have a midterm in 5 hours and i lost all hope because my professor decided to teach us 3 new topics in one day so he can put it on the midterm. 3 topics in 1 hour + my professor's THICK accent = no hope whatsoever -.-