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?

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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