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A tangent line is the slope of a line at any given point. So if you wanna find the slope of a curve at any given point, you take find the tangent line. At (4, 6) on the curve, you'd draw a straight line (the line does not intersect the curve) and find its slope. It's been 2 years since I took calculus, but I think you use the point-slope formula

basically, the tangent line found at a certain point is parallel to that point. again, i forget how to exactly to find a tangent line, but im preeetttyyyy sure it has to deal w point slope formula. could be wrong tho

The tangent is the instantaneous rate of change so you gotta derive the formula then sub in when x=1 and you should get 4. But if you donâ€™t have the formula you do what psan said

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