Can someone help me to Derive (x-ln(x))*2^(x^2) ?
-
The derivative of 2^(x^2) is 2xln(2) 2^(x^2)
Use the product rule
d/dx((x-ln(x))*2^(x^2))
=(x-ln(x)*2xln(2) 2^(x^2)+2^(x^2)(1-1/x)
=2^(x^2)[2xln(2)(x-ln(x)]+2^(x^2)(1- 1/x) factor 2^(x^2)
=2^(x^2)[2xln(2)(x-ln(x)+1 -1/x]
Use the product rule
d/dx((x-ln(x))*2^(x^2))
=(x-ln(x)*2xln(2) 2^(x^2)+2^(x^2)(1-1/x)
=2^(x^2)[2xln(2)(x-ln(x)]+2^(x^2)(1- 1/x) factor 2^(x^2)
=2^(x^2)[2xln(2)(x-ln(x)+1 -1/x]
-
Yea took one look at that and my brain was like "WTF?!?" lol if i were you i would hit up confusinghomework.com them guys really know their stuff and the best part is its FREE!!