Intro to derivatives as slopes of tangent lines
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Intro to derivatives as slopes of tangent lines
7:08
About this lesson
Exercise: The graph of the quadratic function \(f\left( x \right) = \frac{1}{2}{x^2} + 2x - 1\) is shown below.
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Video 1 of 13
Intro to derivatives as slopes of tangent lines
7 min
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Evaluating tangent line slopes at various points using the derivative
12 min
Finding tangent line equations at three points on a parabola
17 min
Finding the tangent line equation at x=64 for a radical function
24 min
Finding the equation of the normal line at x = 64
13 min
Finding points where the tangent line is horizontal on a cubic function
12 min
Finding the vertex of quadratic functions using derivatives
11 min
Finding points where tangent lines are parallel to a given line
27 min
Drawing two tangent lines to a parabola from an external point
5 min
Finding where tangent lines from an external point meet the parabola
13 min
Finding equations of both tangent lines using slope formula
7 min
Sketching two parabolas and visualizing their common tangent lines
7 min
Finding equations of tangent lines common to two curves
26 min