Find dy/dx if y= (cos x) ^ x

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asked Sep 18, 2017 106k views

1 Answer

FreshBits · Answer 1 · 2017-09-24T13:02:00+0000

y = (cos x)^x
log y = log (cos x)^x = x log (cos x)
1/y dy/dx = x * 1/cos x * -sin x + log (cos x) = -xsin x / cos x + log (cos x) = log (cos x) - xtan x
dy/dx = y(log (cos x) - xtan x) = (cos x)^x (log (cos x) - xtan x)

Find dy/dx if y= (cos x) ^ x

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