Introduction to Logarithmic Differentiation

This calculus video tutorial provides a basic introduction into logarithmic differentiation. It explains how to find the derivative of functions such as x^x, x^sinx, (lnx)^x, and x^(1/x). You need to take the natural log of both sides of the equation and perform implicit differentiation to find dy/dx. You need to be familar with product rule for derivatives and properties of logarithms.

Derivatives - Fast Review:

Derivatives - The Product Rule - f*g:

Derivatives - The Quotient Rule:

Derivatives - The Chain Rule:

Derivatives - Composite Functions:

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Implicit Differentiation:

Derivatives of Inverse Trig Functions:

Derivatives of Exponential Functions:

Derivatives of Logarithmic Functions:

Logarithmic Differentiation:

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Derivatives - Using Logarithms:

Derivatives of Inverse Functions:

Derivatives - Differentiation Rules:

Derivatives - Function Notations:

Derivatives - The Reciprocal Rule:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

Derivatives - Formula Sheet:

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[dong-wooklee]

Shortcut for derivative of a function of type: f(x) raised to g(x)
Let f(x) be f
Let g(x) be g
Let derivative of f(x) be f'
Let derivative of g(x) be g'
d/dx(f^g)=(f^g)(f'(g/f)+g' log(f))

For those who couldn't understand what's written above, It reads as:
derivative of f raised to power g is equal to f raised to power g times (derivative of f times g by f + derivative of g into log(f))

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