Example 14 - Find slope of tangent to y = x3 - x at x = 2 - Finding slope of tangent/normal

  1. Chapter 6 Class 12 Application of Derivatives
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Example 14 Find the slope of the tangent to the curve 𝑦 = 𝑥3 – 𝑥 at 𝑥 = 2. We know that Slope of tangent = ﷐𝑑𝑦﷮𝑑𝑥﷯ =﷐𝑑﷐﷐𝑥﷮3﷯− 𝑥﷯﷮𝑑𝑥﷯ =3﷐𝑥﷮2﷯−1 So, ﷐𝑑𝑦﷮𝑑𝑥﷯=3﷐𝑥﷮2﷯−1 Putting x = 2 ﷐﷐﷐𝑑𝑦﷮𝑑𝑥﷯﷯﷮𝑥=2﷯=3﷐﷐2﷯﷮2﷯−1 =3﷐4﷯−1=12−1=11 Thus, slope of the tangent is 11

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