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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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Q: How do you get the tangent line without the graph?
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Related questions

What is a tangent line?

Tangent line is a graph. This graph is to gather data.


Find the slope of a tangent line to the graph?

Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.


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.


Derivative as the Slope of a Tangent?

Yes, the derivative of an equation is the slope of a line tangent to the 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) ].


What does the slope graph tells?

The rate of change on that line. This is called the tangent and is used in the application of the derivative.


What do the asymptotes represent when you graph the tangent function?

When you graph a tangent function, the asymptotes represent x values 90 and 270.


Write down the linear tangent line approximation to y equals e 2 at the point x equals 0 and sketch the graph of this function and the tangent line?

y = e2 or e2 is not a function of x: it is a constant. So it is a horizontal straight line and its tangent, at any point, is itself.If you think I am going to sketch a graph on this browser, you have another think coming!y = e2 or e2 is not a function of x: it is a constant. So it is a horizontal straight line and its tangent, at any point, is itself.If you think I am going to sketch a graph on this browser, you have another think coming!y = e2 or e2 is not a function of x: it is a constant. So it is a horizontal straight line and its tangent, at any point, is itself.If you think I am going to sketch a graph on this browser, you have another think coming!y = e2 or e2 is not a function of x: it is a constant. So it is a horizontal straight line and its tangent, at any point, is itself.If you think I am going to sketch a graph on this browser, you have another think coming!


Can you draw the tangent of 5 meter?

No. A tangent is a ratio without units. A line of 5 metres has a measurement unit: metres.


Is Average velocity the slope of the line tangent to the curve on a velocity time graph at a specific instant of time?

No, it is instantaneous acceleration.