Derivative of e^x from the first principle

Anti-Derivative (e^3x + ex)/(e^4x - e^2x + 1)

Derivative of Exponential Function (e^x) From First Principles

Derivative of ln(x) from the first principle

Derivative of ln (x) using the definition of derivative

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Differentiation From the First Principle | Fractional Exponent

how do we know the derivative of ln(x) is 1/x (the definition & implicit differentiation)

Derivative by First principle - Example 3

Definition of the Derivative

Proof: Derivative of ln(x) = 1/x by First Principles

Derivative of 1/x^3 from first principles

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Derivative of sin(x) from First Principles

Proof: the derivative of ln(x) is 1/x | Advanced derivatives | AP Calculus AB | Khan Academy

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