Find f(x) given f''(x), its second derivative (KristaKingMath)

preview_player
Показать описание

Learn how to find the original function, f(x), given f''(x), its second derivative, also called f double prime of x. Work backwards and take the integral of f''(x) to get the first derivative, f'(x), then take the integral of f'(x) to get the original function, f(x). Make sure to add a constant of integration each time.

● ● ● GET EXTRA HELP ● ● ●

● ● ● CONNECT WITH KRISTA ● ● ●

Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

  1. Krista King
  2. calculus
  3. constant
  4. how to
  5. integral
  6. backwards
Рекомендации по теме
Find f(x) given 0:05:03

Find f(x) given f''(x), its second derivative (KristaKingMath)

Given fx sketch 0:04:09

Given fx sketch the first and second derivative graph

Calculus Problem - 0:07:23

Calculus Problem - Find Original Function Given the Derivative

Find Antiderivative f 0:03:27

Find Antiderivative f given second derivative f”(x) = 20x^3 + 12x^2 +4, f(0) = 8, f(1) = 5

SPM Addmath Form 0:06:43

SPM Addmath Form 4 Chapter 1 Composite Function :Given fg(x), find f(x) or g(x)

Find f(x) given 0:07:40

Find f(x) given f'''(x), its third derivative (KristaKingMath)

2.1D Graphing f(x) 0:25:30

2.1D Graphing f(x) Given the Graph of f'(x)

Antiderivatives: Find a 0:05:44

Antiderivatives: Find a Function Given the Second Derivative (Linear)

Casio FX-260 Solar 0:14:52

Casio FX-260 Solar II Scientific Calculator Unboxing

Connecting f, f', 0:05:36

Connecting f, f', and f'' graphically | AP Calculus AB | Khan Academy

Find inside function 0:02:03

Find inside function from the given Composite Function

(fog)(x) and (gof)(x): 0:02:41

(fog)(x) and (gof)(x): How to find them, given f(x) and g(x).

How to find 0:03:12

How to find f(x) from gf(x) and g(x)?

How to find 0:06:48

How to find the outside function of any given composite function

Learn how to 0:02:15

Learn how to evaluate for a function

Composite Function Find 0:04:08

Composite Function Find Outside Function Example

Composite Functions 0:05:23

Composite Functions

Find the derivative 0:01:23

Find the derivative of inverse of a function given values

Find the Function 0:03:57

Find the Function Given f''(x) = 2 + cos(x), f(0) = -1, f(pi/2) = 0

Learn how to 0:01:42

Learn how to evaluate a function for a given value

How to evaluate 0:01:10

How to evaluate a function for a given value

Given f(x)=-x^2+4x, Solve 0:02:51

Given f(x)=-x^2+4x, Solve f(x)=0 by Factoring

Given the derivative 0:02:29

Given the derivative graph of f' find the relative min

How to Evaluate 0:00:45

How to Evaluate a Function f(2) Given f(x) = -x + 3

Комментарии
Автор

This video is 11 years old, it's incredible that after all of those years, you're still positively impacting lives. THANK YOU.

mairaquintero
Автор

You've always been smart! This stuff just takes practice. :)

kristakingmath
Автор

Well, I've been working on calculus problems for five hours now, just for fun. And it's been quite challenging, but this makes a lot of sense. Great video, and explanation! Thank you for this!

PrimeSnake
Автор

I'm sure I will be creating some more partial derivatives videos in the future, but I've actually already created some which you can find here: :) hope it helps! integralcalc (dot) com/partial-derivatives/

kristakingmath
Автор

Krista King your teaching style is clear, professional and concise. Great video!! :D

ebenezeroluwole
Автор

Glad you think so! You're welcome! :)

kristakingmath
Автор

Thank you for the great demonstration of this concept!

fatimamohamed
Автор

Thank you! My problem had initial conditions but your video helped me to solve for C and D. Thanks!

teifaf
Автор

Gosh its been years since I last did this.. Thanks for the refresher!

brendanarita
Автор

I don't have any yet, but I'll try to make some!! :D

kristakingmath
Автор

Oh Krista, you always try to do your best ;)
I hope I have a good teacher like u :)

Mohish
Автор

You are honestly the most beautiful lady to help me with calculus. I really have to thank you for your time and effort into making these videos for us! I appreciate you so much!!

erender
Автор

I like to call the apostrophe in f'(x) "the Hear'Say apostrophe". (Hear'Say were a band in the early Noughties that had an apostrophe in their name for aesthetic purposes.)

WedgePee
Автор

Yes, clearly they're similar... but I wanted to make sure I had both in case anyone wanted to be specific. :)

kristakingmath
Автор

and where can i get application of second derivative test for cost and demand functions please

adajiben
Автор

hi I want to know how calculate the original function from the derivative (x^2-16)/(x-2) please help me thanks

Js
Автор

Thank you very much. Like I said, I'm just working on these Limitations and they're irritating at times. So, again, thank you for the video. it was helpful. :)

PrimeSnake
Автор

This is super helpful! On the off chance you're still doing this, can you tell me if these properties have names I can use to explain/justify my work on tests?

josephcohen
Автор

wow you made me get an A in math 104>>> you super awesome

adajiben
Автор

dude thankyou, these videos are saving me in university.

gimmy