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Estimating Derivatives at Various Points on a Curve

Learn to estimate derivatives at specified points on a curve, drawing tangent lines and calculating slopes using grid lines. Practice estimating values at each indicated point to enhance your understanding of derivatives.

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Estimating Derivatives at Various Points on a Curve

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  1. Estimate the derivative at each of the indicated points

  2. Point A • Draw in the tangent line to the curve at A • Estimate the slope (derivative) using the grid lines

  3. Point A • It appears to go up about 2 units and right about 3 units • Thus we estimate: • Note: it looks like the value of point A is 1, so we could say

  4. Try the rest on your own

  5. Point B • About 2 unit down for every 5 units right • Or

  6. Point C • About four units down and three units right • Or

  7. Point D • A little bit more than one unit down and one unit right • Or

  8. Point E • About five units up and three units right • Or

  9. Point F • Completely horizontal • Or

  10. Computer calculated values

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