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Calculus Math Explained
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calculus pre calculus fundamentals of calculus mathway calculus calculus calculus calculus calc 2 calc 1 calc 3 calculus2 ap calculus ab ap precalculus multivariable calculus calculus ab ab calc ap ab ap calc ab ap pre calc calc chat ap calculus calculus ap integral calculus ...

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Document information

  • November 3, 2023
  • 1
  • 2023/2024
  • Class notes
  • Sasikumar
  • All classes

Subjects

  • calculus
  • pre calculus
  • calc 1
  • calc 2
  • calc 3
  • calculus ab bc
  • ap calculus

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  • University Of The People
  • Unknown

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sasikumarkrishnamoorthy

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MATH140 Final Cheat Sheet
by 02gguzman via cheatography.com/129999/cs/25725/


Limits Area Between Curves Chain Rule




Interm​ediate Value Theorem

IF f is a function that is continuous over the
interval [a,b] and m is some number
One Sided Limits
between f (a) and f (b), THEN there exists a
Show that the side you are evaluating exists number c between and b such that f (c)=m.
If it is defined @ value plug it in Derivative of an Integral
Mean Value Theorem
First/ Second Derivative Tests

First Second

1. Take 1. Take and find c.v.
Limit Definition of Deriva​tives
derivative and
Rolle's Theorem
find c.v.
2. Use a sign 2. Use a sign chart
IF: - [a,b] is continuous
chart
- (a,b) is differ​ent​iable
+ is inc. / - is dec. + is CC up / - is CC
down - f(a)=f(b)

shows extrema shows inflection points THEN: f'(c)=0

* test endpoints *if checking extrema
Newton Raphson Method
sign is the opposite
Power Rule




Related Rates

1. Draw a picture and label
Produc​t/Q​uotient Rule 2. Use formula for area/v​olume of shape

3. Take derivative of formula
4. Plug in values to each formula as
needed
*One variable will NOT have a rate of
change (ex. ladder)


By 02gguzman Published 16th December, 2020. Sponsored by Readable.com
Last updated 16th December, 2020. Measure your website readability!
Page 1 of 1. https://readable.com

cheatography.com/02gguzman/

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