Tangent lines homework

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Tangent lines homework in 2021

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Find tangent line of curve

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Tangent lines

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Tangent and normal lines calculator

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Slope of the tangent line calculator

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Do you have a point on the tangent line?

Since we know that we are after a tangent line we do have a point that is on the line. The tangent line and the graph of the function must touch at x x = 1 so the point ( 1, f ( 1)) = ( 1, 13) ( 1, f ( 1)) = ( 1, 13) must be on the line. Now we reach the problem.

When do you call a line a secant line?

At the second point shown (the point where the line isn’t a tangent line) we will sometimes call the line a secant line. We’ve used the word parallel a couple of times now and we should probably be a little careful with it.

When is a tangent line not parallel to the graph?

At the second point, on the other hand, the line and the graph are not moving in the same direction so they aren’t parallel at that point. Okay, now that we’ve gotten the definition of a tangent line out of the way let’s move on to the tangent line problem.

Which is the slope of the tangent line?

So, as an estimate of the slope of the tangent line we can use the slope of the secant line, let’s call it m P Q m P Q, which is, Now, if we weren’t too interested in accuracy we could say this is good enough and use this as an estimate of the slope of the tangent line.

Last Update: Oct 2021


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