- #1

Esoremada

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## Homework Statement

http://puu.sh/4M7BE.png [Broken]

## Homework Equations

ln(a

^{x}) = x*ln(a)

## The Attempt at a Solution

ln(y) = cos(x)*ln(ln(x))

dy/dx * 1/y = -sinx*ln(ln(x)) + cosx/(x*lnx)

No clue how to solve this, there's no ln(ln(x)) in the possible answers

Attempt 2

y = cos(x)^ln(x)

ln(y) = ln(x)*ln[cos(x)]

1/y * dy/dx = 1/x * ln(cos(x)) + ln(x) * 1/cos(x) * (-sin(x))

dy/dx = y[ ln(cos(x))/x - ln(x) * sin(x) / cos(x)]

dy/dx = [cos(x)

^{ln(x)}][ ln(cos(x))/x - (ln(x)sin(x))/cos(x)]

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