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#1 2023-11-04 19:36:35

lanxiyu
Member
Registered: 2022-05-10
Posts: 55

Proof of derivative rules

Definitions of limit:




Definitions of derivative:

Sum rule:





Product rule:








Reciprocal rule:









Quotient rule:





Power rule:






Chain rule:













Inverse function rule:






Natural exponential rule:









Natural logarithm rule:





Exponential rule:






Logarithm rule:




Derivatives of the Trigonometric Functions

Inverse sine rule:





Inverse cosine rule:





Inverse tangent rule:






Derivative of advanced operators:


Derivative of function equations:




Derivative of statistical function:


n-dimensional hyper-surface area of (n+1)-dimensional frustum of hyper-cone:

When h tends to zero:

Last edited by lanxiyu (2024-12-10 19:09:51)

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