Wednesday

August 27, 2014

August 27, 2014

Posted by **Tony** on Sunday, June 30, 2013 at 3:36pm.

- Maths -
**Steve**, Sunday, June 30, 2013 at 5:52pmy = x^22 / 10x^logx

Nasty, but straightforward

Recall that d/dx (u^v) = v/u u^v u' + lnu u^v v'

I will assume by logx you mean lnx. If not, just recall that logx = lnx/ln10

d/dx x^lnx = (2/x lnx) x^lnx

So, using the quotient rule, we have

y' = 22x^21/(10x^logx) + x^22(20/x logx) x^logx

= 1/5 x^21/x^logx (11 - logx)

y'=0 when logx = 11, or x = e^11

y(e^11) = 1/10 e^121

whew - that's big!

**Related Questions**

math - I tried everthing but,I couldnt solve it. Please help me.the answer at ...

college - FIND THE VERTEX THE LINE OF SYMMETRY THE MAX OR MIN VALUE OF THE ...

algebra - If LOGx (A)=0.7 and LOGx (B) =0.5 how do I solve LOGx (B/A)

Maths - f(x)=1+2cos2x Find min/max, period, general solution, sketch Period is ...

Maths - If the minimum value of f(x)=x^2+18x+a is the same as the minimum value ...

Math - Find the equation of the tangent line 5x^2+y^2=14 at (1,3). P.S: It's ...

Calculus - Find the values for which f(x) = x^10-10x and if 0 (less than or ...

maths - 5^(logx) + x^(log5) = 50 . Find x

Math - these are some problems i do not get any help is appreciated. These are ...

Calculus - Find f'(x) if f(x)= Logx(x^2-5x+6) NOTE: that logx is a sub x