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Rules for differentiating standard elementary forms

Subsections

Importance of General Rule
Differentiation of a constant
Differentiation of a variable with respect to itself
Differentiation of a sum
Differentiation of the product of a constant and a function
Differentiation of the product of two functions
Differentiation of the product of any finite number of functions
Differentiation of a function with a constant exponent
Differentiation of a quotient
Examples
Differentiation of a function of a function
Differentiation of inverse functions
Differentiation of a logarithm
Differentiation of the simple exponential function
Differentiation of the general exponential function
Logarithmic differentiation
Examples
Differentiation of $\sin v$
Differentiation of $\cos v$
Differentiation of $\tan v$
Differentiation of $\cot v$
Differentiation of $\sec v$
Differentiation of $\csc\, v$
Differentiation of ${\rm vers}\, v$
Exercises
Differentiation of $\arcsin v$
Differentiation of $\arccos v$
Differentiation of $\arctan\, v$
Differentiation of ${\rm arccot}u$
Differentiation of ${\rm arcsec}u$
Differentiation of ${\rm arccsc}\, v$
Differentiation of ${\rm arcvers}\, v$
Example
Implicit functions
Differentiation of implicit functions
Exercises
Miscellaneous Exercises

david joyner 2008-08-11