SOLUTION: Let f(x)=(ln(x))sec(x). Find f′(x)

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Question 1074896: Let f(x)=(ln(x))sec(x). Find f′(x)
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = (ln(x))sec(x)

The product rule for differentiation:

The first times the derivative of the second plus
the second times the derivative of the first.

The first is ln(x)
The second is sec(x)
The derivative of the first is 1/x
The derivative of the second is sec(x)tan(x)

(first)∙(derivative of second) + (second)∙(derivative of first)

ln(x)∙sec(x)tan(x) + sec(x)(1/x)

You can factor out sec(x) if you like

Edwin