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Calculus Basics
study calculus from the ground up
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Tough Concepts
Existence Theorems
Existence Theorems
Existence theorems includes 3 theorems: Intermediate Value Theorem, Extreme Value Theorem, Mean Value Theorem.
Solomon Xie
Jan 22, 2019
Limits properties
Limits properties
Refer to Khan academy: Limit properties
Solomon Xie
Jan 23, 2019
Application of Removable Discontinuities
Example
Solomon Xie
Jan 23, 2019
L'Hopital's Rule
L'Hopital's Rule
LHopital's Rule helps us to find the limit of an Undefined limits, like 0/0, ∞/∞ and such. It's quite simple to apply and very convenient…
Solomon Xie
Jan 22, 2019
Derivative of exponential functions
It’s save a lot of time of life not to dig in how mathematicians developed these formulas. If you do want to, refer to Khan’s lecture…
Solomon Xie
Jan 22, 2019
Implicit differentiation
Implicit differentiation
Bit hard to understand it in the first place.
Solomon Xie
Jan 23, 2019
Derivative Basics
Derivative Basics
Simply saying, it’s just the SLOPE of ONE POINT of a graph (line or curves or anything).
Solomon Xie
Jan 23, 2019
The Origin of Derivatives
Limits
Limits
Limits are all about approaching. And the entire Calculus is built upon this concept.
Solomon Xie
Jan 24, 2019
Limits at infinity
Limits at infinity
No matter why kinds of Limits you’re looking for, to understand it better, the best way is to read the Step-by-Step Solution from…
Solomon Xie
Jan 23, 2019
All types of discontinuities
All types of discontinuities
Refer to Mathwarehouse: What are the types of Discontinuities?
Solomon Xie
Jan 23, 2019
Analyzing functions for discontinuities: algebraic
If the limits of both side of some point, are EQUAL, then it’s continuous at this point.
Solomon Xie
Jan 23, 2019
Derivative equation
The idea of derivative equation is quite simple: The LIMIT of the SLOPE.
Solomon Xie
Jan 23, 2019
Local linearity & Linear approximation
Local linearity & Linear approximation
Local linearity is for approximating of a point's value by its near known point.
Solomon Xie
Jan 23, 2019
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