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The answer will depend on the context.
If the curve in question is a differentiable function then the gradient of the tangent is given by the derivative of the function. The gradient of the tangent at a given point can be evaluated by substituting the coordinate of the point and the equation of the tangent, though that point, is then given by the point-slope equation.
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What is a tangent line?
Tangent line is a graph. This graph is to gather data.
What is a tangent in math?
A tangent is a straight line which will intersect at another line only once. Every tangent for each point will be different, because each tangent is exclusive only to one point in a graph.
What feature of a distance per time graph represents speed?
The gradient (slope) of the tangent to the graph at the given time - provided that it exists. If the graph is a straight line at that point, it is the gradient of that line.
How do you get the slope of a line on a graph?
Take a tangent at the point where you want the slope. Then the slope of the graph at that point is the slope of the tangent, which is found by taking another point on the tangent and then taking the change in y between the two points and divid it by the change in x.
What is the equation of the line tangent to the graph y equals sin 2x?
That line is [ y = 2 cos(2x) ].
