dessskris Posted January 11, 2011 Report Share Posted January 11, 2011 My class is doing Calculus now and a question in a worksheet from my teacher just made me confused.Find the derivative of x4x with respect to x.I know that the derivative of xn is just nxn-1But what about xnx?? What do we do to the power? Reply Link to post Share on other sites More sharing options...
chrypton Posted January 13, 2011 Report Share Posted January 13, 2011 I can tell you that you don't need to worry about that problem, because it is not in the Math HL syllabus.However, you can see how it is differentiated in steps here.It involves using the chain rule in a different way than we are taught in the HL course. Reply Link to post Share on other sites More sharing options...
dessskris Posted January 13, 2011 Author Report Share Posted January 13, 2011 Really? Oh my math teacher showed me how already btw.y = x4xln(y) = ln(x4x)ln(y) = 4x ln(x)Then just do an implicit differentiation 1/y dy = 4x/x dx + 4ln(x) dxdy/dx = 4y(1+ln(x))dy/dx = 4x4x(1+ln(x))Since it uses implicit differentiation, it is in the syllabus and we need to know this Reply Link to post Share on other sites More sharing options...
Guest daem0n Posted January 20, 2011 Report Share Posted January 20, 2011 That should be correct...we did a similar question today in Math SL.Use the log properties -> implicit derivative -> solution Reply Link to post Share on other sites More sharing options...
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