angsonMagdayne
angsonMagdayne
26-11-2016
Mathematics
contestada
find dy/dx if y= (cos x) ^ x
Respuesta :
nobillionaireNobley
nobillionaireNobley
29-11-2016
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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