Estimate the slope of the tangent line to the curve ( y=sqrt[3]{-2 x} ) at ( x=-4 ), and then use it to find the equation of the tangent line at ( x=-4 ). Show calculations to receive full credit. (10pts)
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We substitute x=-4 into the equation y = (-2x)^(1/3) to get y = (-2*-4)^(1/3) = 8^(1/3) = 2. So the point is (-4, 2). Show more…
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