How do you figure out where a tangent line is horizontal or vertical when all you are given is dy/dx. In the problem I am trying it asks me to find where the tangent line is horizontal and vertical when dy/dx= (4-2x)/(2y+7)
How do you figure out where a tangent line is horizontal or vertical when all you are given is dy/dx. In the problem I am trying it asks me to find where the tangent line is horizontal and vertical when dy/dx= (4-2x)/(2y+7)
dy/dx is the slope of the tangent line. In this problem the differentiation has already been done, in "implicit" form - that is, both x and y occur in the function. Set the numerator to zero to find where the slope is horizontal, and set the denominator to zero to find vertical tangents. Knowing only the derivative, you will not be able to specify the actual point - just one of its two coordinates.
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