Posted by **Ifi** on Sunday, October 28, 2012 at 12:50am.

Calculate dy/dx, (x^3)(y^7) + 16xy^6=0

My ans is (y(-16-3x^2y))/ x(96+7x^2y) but at wolfram is y^6(3x^2y+16). Btw i use product rule to dy/dx.

Need someone to recheck my ans.

- Math -
**Steve**, Sunday, October 28, 2012 at 1:08am
3x^2y^7 + 7x^3y^6y' + 16y^6 + 96xy^5 y' = 0

y'(7x^3y^6+96xy^5) = -(3x^2y^7 + 16y^6)

y' =

-y^6 (3x^2 y + 16)

---------------------

xy^5 (7x^2 y + 96)

y' =

-y(3x^2y+16)

-----------------

x(7x^2 y + 96)

you are correct, and Wolfram agrees for me. If the answer you got was different, you must have mistyped it into Wolfram

- Math -
**Ifi**, Sunday, October 28, 2012 at 4:54am
Thanks guy

## Answer this Question

## Related Questions

- Math - Differentiate f(x)= (8-2x)^3(x^2+1)^5. My ans is 2(8-2x)^2(x^2+1)^4(-3x^2...
- math - use implicit differentiation to find dy/dx and then d^2y/dx^2. y^2=ye^x^2...
- Math - How to d/dx y= (9+((x-9)/6)^1/5)^1/2 ? Hope u can give me the way how to ...
- 6th grade math - Can you check these problems, please? Translate each phrase ...
- Math - Let log 2 = a, log 3 = b and log 7 = c. Express the indicated logarithm ...
- 7th grade math (probability) - Can you check these, please? Ten cards numbered 1...
- chem - an aq. solution(NaCl) made by using 133g diluted to a total solution ...
- 6th grade math - Can you check the following problems related to inequalities? 1...
- Math - How to differentiate e^e^x? Ans at wolfram is e^(x+e^x). I need the ...
- 6th grade math - Can you check these, please? 1. George had 5 apples. His mother...