Posted by **C** on Tuesday, March 26, 2013 at 8:55pm.

Implicit differentiation of 5x^2-2xy+7^y

- Calculus -
**Reiny**, Tuesday, March 26, 2013 at 9:24pm
Two assumptions

1. you want dy/dx

2. You have the equation 5x^2 - 2xy + 7y^2 = 0

10x - 2x dy/dx - 2y + 14y dy/dx = 0

dy/dx( 14y - 2x) = 2y - 10x

dy/dx = (2y-10x)/(14y - 2x) = (y - 5x)/(7y - x)

- Calculus -
**C**, Tuesday, March 26, 2013 at 9:27pm
No, the equation is

5x^2-2xy+7^y

Last term has 7 to the y power....

- Calculus -
**Reiny**, Tuesday, March 26, 2013 at 9:43pm
Ouch, nasty term ...

the derivative of 7^y would be

(ln7)(7^y)dy/dx

I am sure you can make the necessary changes .

- Calculus -
**C**, Tuesday, March 26, 2013 at 9:45pm
Yes...very nasty! Thanks

## Answer this Question

## Related Questions

- Calculus - Find y" by implicit differentiation. x^3+y^3 = 1 (x^3)'+(y^3)' = (1...
- Calculus 1 Implicit differentiation - Help please help me understand what i am ...
- Calculus 1 - implicit differentiation - I do not understand implicit ...
- Calculus 1 - implicit differentiation - I do not understand implicit ...
- Calculus - Find dy/dx by implicit differentiation for x^2 - 2xy + y^3 = C
- Calculus - Find dy/dx by implicit differentiation for x^2 - 2xy + y^3 = C
- Calculus - Find dy/dx by implicit differentiation: x^2-2xy+y^3 = c Thank you!
- Calculus - I am having trouble differentiating x^2 + 2lny = y (solving for dy/dx...
- Calculus - Find dy/dx by implicit differentiation. x^3 - 3x^2y + 2xy^2 =12 ...
- Calculus - Use implicit differentiation to find the slope of the tangent line to...

More Related Questions