Sketching a derivative
How do I solve this with calculus
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Explanation:
The left side of the V shape has a slope of -1, while the other piece has a slope of 1.
We'll have horizontal lines going through these locations on the y axis to start off the derivative graph. However, we only graph the left slope values when x < 4. The right slope values are graphed only when x > 4
See below.
The open holes indicate to the reader that (4,-1) and (4,1) are not part of the red derivative graph. This is because we cannot find the tangent slope at exactly (4,0) on the original V shape.