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Goldendaya1n
Goldendaya1n Goldendaya1n
  • 21-07-2016
  • Mathematics
Answered

derivative: y=3^(xlnx)

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meerkat18
meerkat18 meerkat18
  • 21-07-2016

The derivative of the equation y = 3^(xlnx) can be obtained by taking the logarithm of the function. this is expressed as ln y = 3 ln (xlnx). in this case, the derivative isĀ 
ln y = 3 ln (xlnx)dy/y = 3 dx / xlnx + x dx/x + ln x dxdy/dx = 3y /x ln x + y + y ln x
the derivative is 3y /x ln x + y + y ln x where y is 3^(xlnx)

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