Derivatives and Tangent Lines 1
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Lesson Description:
An introduction to derivatives and tangent lines to curves.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- What is a derivative?
- What is a tangent line to a point on a continuous smooth curve?
- How do you find the slope of a tangent line to a point on a curve?
- How can you approximate the slope of a tangent line with limits and the slope of secant lines?
- Where can I find an introduction to derivatives?
- How can you estimate a tangent line to a curve at a point and sketch the line?
- When does a tangent line not exist for a curve at a point?
- What is the tangent line and its slope of f(x) = x^2 - 3 at (0, -3)?
- How do you find the slope of the tangent line of f(x) = x^2 - 3 at (1, -2)?
- What is a secant line?
- How do you find the slope of a secant line between two points on a curve?
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Staff Review
This introduction to tangent lines and their slopes is a wonderfully understandable explanation. This video does not get into definitions yet, but it is just a way of understanding what is going on with slopes of tangent lines to curves. This is a great place to start for any Calculus student.
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