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?

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