Saturday

April 19, 2014

April 19, 2014

Posted by **corinne** on Tuesday, January 10, 2012 at 9:13pm.

1. y=(lnx)^3

2. y=x^4lnx

3. y=sin^3(lnx)

- calculus -
**Steve**, Wednesday, January 11, 2012 at 12:12am1. use chain rule

u = lnx

y = u^3

dy/dx = 3u^2 du/dx = 3(lnx)^2/x

2. use product rule

f=x^4

g=lnx

y = fg

y' = f'g + fg' = 4x^3 lnx + x^4/x = x^3(4lnx + 1)

3. use chain rule

u = lnx

v = sin(u)

y = v^3

dy/dx = dy/dv dv/du du/dx

= 3v^2 * cos(u) * 1/x

= 3sin^2(lnx) * cos(lnx) * 1/x

**Related Questions**

Calculus - Find the derivatives, dy/dx for the following functions. a. x^2y^4 = ...

College Calc - Problem: y=sqrtx ^1/x. Find DY/DX. ln(f(x))=lnx^1/2x or lnx to ...

Calculus 1 - Find the derivative of y with respect to x. y=(x^6/6)(lnx)-(x^6/36...

calc - integral of 1 to e^4 dx/x(1+lnx) 1+lnx = a => dx/x = da dx/ x(1+lnx...

L'Hopital's rule - Find lim x->1+ of [(1/(x-1))-(1/lnx)]. Here is my work...

Calculus - Find dy/dx in terms of x and y if xlny+y^6= (9)lnx

Calculus - Find dy/dx in terms of x and y if xlny+y^6= (9)lnx

calculus - sorry to ask a second question so soon, but i'm just not getting this...

calculus - 1. e^ln3 - 2lnx 2. 2(lnx)^2 + lnx - 1 =0 3. d/dx (e^x . e^e^x)

Calculus - derivatives - Okay, I want to find the derivative of (x^x)^(x^x)... ...