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Mrac
[35]
2 years ago
10
Find dy/dx if y= (cos x) ^ x
Mathematics
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1
answer:
Elan Coil
[88]
2 years ago
5
0
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)
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