Math Is Fun Forum

wintersolstice

Real Member

Registered: 2009-06-06

Posts: 128

how to differentiate one function to power of another

sorry if this has been posted.

to differentiate the following

start with the following

then take natural logs of both sides

diferentiate both sides

NOTE 1: since I could seem to write the derivative of f(x) and g(x) as f'(x) and g'(x) I had to change the to h(x) (for g'(x)) and i(x) (for f(x)

NOTE 2 this derivative was done using the chain rule and the product rule

multiplying by y

and sustituting

Last edited by wintersolstice (2016-02-24 08:36:08)

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