Posted by **Mary** on Thursday, March 7, 2013 at 11:38am.

Find the derivative of sin(2x + 3y)= 3xy + 5y-2.

I have this so far

1) cos(2x+3y) * d/dx (2x+3y)= 3xy' + 3y + 5y'

2) cos (2x+3y) * [2 + 3y']= 3xy' + 3y + 5y'

3) 3y' cos (2x+3y) + 2cos(2x+3y)= 3xy' + 3y + 5y'

4) 3xy' + 5y' - (3y(cos(3x+3y)= 2 cos (2x + 3y) - 3y

If I am wrong, can you please explain to me what I am doing wrong. Thank you

- Derive -
**Steve**, Thursday, March 7, 2013 at 12:02pm
Aside from the typos in (4) you are ok.

4) 3xy' + 5y' - 3cos(2x+3y)y' = 2 cos (2x + 3y) - 3y

5) (3x+5y-3cos(2x+3y))y' = 2cos(2x+3y) - 3y

6) y' = (2cos(2x+3y)-3y)/(3x+5y-3cos(2x+3y))

- Derive -
**Mary**, Thursday, March 7, 2013 at 12:13pm
Thank you SO much sir. I feel a lot better knowing that I did this right

## Answer This Question

## Related Questions

- Simultaneous equation - X+y+z=1......(1) x^2+y^2+z^2=35........(2) x^3+y^3+z^3=...
- polynomials - I have to simplify (-x^5y^4)^4(3x^2y)^2(1/3xy) I did (x^20y^16)(9x...
- Algebra-Please check my answers - Posted by Jessie on Monday, October 18, 2010 ...
- Algebra-Please check my answers - Posted by Jessie on Monday, October 18, 2010 ...
- differential equations - the directions are to determine whether or not the ...
- Math - I have no clue how to do this as no values were given and im confused. ...
- Math help polynomial - multiply the following polynomial -3x(y^2+2y^2) answer ...
- bobpursly, - Is this correct now after i revised it Multiply. 3xy^2(5xy-4x+6y) ...
- Calculus 12th grade (double check my work please) - 1.)Find dy/dx when y= Ln (...
- Math! - 1) What is the value of 19 + 5a^4 + 3b^2 when a = 2 and b = -4? (this ...

More Related Questions