Last month we introduced slopes in the SlopeLineEqua post. While that lesson dealt with linear equations, today's lesson covers curves. It is an extension of Saturday's lesson on taking the derivative of a function (FunctionDeriv). This concept appeared 3 times last year, with a median placement at question # 76.
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The tangent line to a curve at a given point is the straight line that "just touches" the curve at that point. It is the best straight-line approximation to the curve at that point. It is also the slope of the curve at that point. Let's take a look at how to find this slope...which will look very familiar if you've studied last Saturday's post.
How to Solve:
- Take the derivative of the function.
- Substitute the x value of the line (or point) into the result of Step 1.