18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part B: Implicit Differentiation and Inverse Functions

Session 18: Derivatives of other Exponential Functions

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This session introduces the technique of logarithmic differentiation and uses it to find the derivative of a^x. Substituting different values for a yields formulas for the derivatives of several important functions. Further applications of logarithmic differentiation include verifying the formula for the derivative of x^r, where r is any real number.

Lecture Video and Notes

Video Excerpts

Clip 1: Other Bases

Clip 2: Derivative of ax, Logarithmic

Clip 3: Derivative of xx

Recitation Video

Rules of Logs

Lecture Video and Notes

Video Excerpts

Clip 1: The Power Rule

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Course Info

As Taught In
Fall 2010
Learning Resource Types
grading Exams with Solutions
notes Lecture Notes
theaters Lecture Videos
assignment_turned_in Problem Sets with Solutions
laptop_windows Simulations