# Calculus

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

1. 👍 0
2. 👎 0
3. 👁 360
1. x lny+ y^6=9lnx

lny +xy'/y+6y^5 y'=9/x

solve for y'

1. 👍 0
2. 👎 0
👨‍🏫
bobpursley
2. I solved and I got: (9-lny)/(x((x/y)+6y^5))

1. 👍 0
2. 👎 0
3. But that's not the answer...

1. 👍 0
2. 👎 0

## Similar Questions

1. ### math

Find the exact area between y=lnx and y=ln(x^ 2 ) for 4≤x≤8 .

2. ### Calculus

Find the minimum distance between the curves y=e^x and y=lnx. Hint: Use the fact that e^x and lnx are inverse relationships. I have no idea where to start. Thanks! calculus - Reiny, Monday, January 18, 2016 at 9:02pm to get you

3. ### math

how to find the following limit : lim lnx/lgx x->infinity

4. ### Math

Find the inverse function of F(x)= 3e^(2x) I found y=lnx/6 Am I right ? Thanks

1. ### math

1.Express (xe^x)^2=30e^(-x) in the form lnx=ax+b,and find the value of a and of b . 2.solve 4(3^2x)=e^x

2. ### math

find X if the numbers X+3, 5x-3, and 7x+3 are three consecutive terms of a G.P of positive terms. with this value X and given the X+3, 5x -3 and 7x +3 are the third, fourth and fifth terms of the G.P.. find the sum of the first 8

3. ### Math

ln x^2(x+1)/x+2 Write in terms of ln(x), ln(x+1), and ln(x+2) is the correct steps this? lnx^2 + ln(x+1) - ln(x+2) = 2lnx + ln(x+1) - ln(x+2)

4. ### arithmetic

1. The first and last term of an A.P are, a and l respectively, show that the sum of nth term from the beginning and nth term from the end is a + l. 2. If mth term of an A.P be 1/n and nth term be 1/m, then show that its mnth term

1. ### Calculus

Evaluate the definite integral. dx/(x*sqrt(lnx)) from 1 to e^4 I'm having trouble figuring this out, I might be overthinking it. The way I've approached this is by using u substitution and letting u=lnx. I keep getting the wrong

2. ### Math

Find the area of the region between the curves y=lnx and y=ln2x from x=1 and x=5.

3. ### Calculus

L'Hospital's Rule Lim(lnx)^(x-1) x->1+ This is what I did so far... Form: 0^0 ln(lnx)/ (1/x-1) ----------------------------------- I am not sure if you could use L'Hospital Rule (as stated in the instruction)for the 2 problems

4. ### calculus

sorry to ask a second question so soon, but i'm just not getting this one. if f(x)= 3x lnx, then f'(x)=? i used f'(x)=3x(D lnx) + D (3x) (lnx) f'(x)=3x (1/x) + 3 (lnx) so... f'(x)=3+3lnx or 3(1+lnx). unfortunately that isn't one