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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 = x5 +7

dy(x+7y)-1-y((x+7y)-2*(dx +7dy)=5x4

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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