Question 1 - Examples - Chapter 6 Class 12 Application of Derivatives

Last updated at August 2, 2026 by

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

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Question 1 Find the slope of the tangent to the curve š‘¦ = š‘„3 ā€“ š‘„ at š‘„ = 2.We know that Slope of tangent = š‘‘š‘¦/š‘‘š‘„ =š‘‘(š‘„^3āˆ’ š‘„)/š‘‘š‘„ =3š‘„^2āˆ’1 Putting š‘„ = 2 ā”œ š‘‘š‘¦/š‘‘š‘„ā”¤|_(š‘„=2)=3(2)^2āˆ’1" " =3(4)āˆ’1=12āˆ’1=11 Thus, slope of the tangent is 11

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