Question
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)<sup>-1</sup> = x<sup>5</sup> +7
dy(x+7y)<sup>-1</sup>-y((x+7y)<sup>-2</sup>*(dx +7dy)=5x<sup>4</sup>
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?
can anyone help me work out the problem step by step?
y (x+7y)<sup>-1</sup> = x<sup>5</sup> +7
dy(x+7y)<sup>-1</sup>-y((x+7y)<sup>-2</sup>*(dx +7dy)=5x<sup>4</sup>
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?