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lanxiyu

Member

Registered: 2022-05-10

Posts: 48

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 (2024-01-01 01:13:23)