Posted by **jimmy** on Saturday, May 19, 2007 at 4:47am.

Use implicit differentiation to find the slope of the tangent line to the curve y/(x+7y)=x^5+7 at the point (1,(-8/55).

can anyone help me work out the problem step by step?

y (x+7y)

^{-1} = x

^{5} +7

dy(x+7y)

^{-1}-y((x+7y)

^{-2}*(dx +7dy)=5x

^{4}
multiply it out, gather the dx and dy terms, and solve for dy/dx

i got the slope to be -87/605 is that correct?

## Answer this Question

## Related Questions

- Calc, Implicit Differentiation - Regard y as independent variable and x as ...
- Derivatives - What is the fourth derivative of f(x)= e^-x^2. I got f''(x)=-2e^-x...
- Powers in Math - (5a^3b^4)^2=? *I don't get this one...PLease Help! (5a3b4)2= (5...
- math-volume - I'm confused with how to solve this problem, so help would be ...
- Calculus - The line that is normal to the curve x^2=2xy-3y^2=0 at(1,1) ...
- help - Y^3Y/Y^-2 If you post with the correct word in the Subject line, you'll ...
- Property of logarithms - Using property of logarithms, how do I prove derivative...
- science - How many grams of Aluminum will react w/ 1 liter of a 1M solution of ...
- Chemistry - Sorry for posting this again, I dont know if the question was ...
- calc - Where do I start to prove this identity: sinx/cosx= 1-cos2x/sin2x please ...

More Related Questions