Calculus
posted by jimmy .
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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