# Calculus

posted by
**jimmy** on
.

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?