Find the slope of the tangent to the curve y = x³ – x at x = 2.

Solution

The equation of curve is
y = x³ – x
$therefore space space space space space space space space space space space space space space dy over dx space equals space 3 straight x squared minus 1 At space space straight x space equals 2 comma space space space space space dy over dx space equals space 3 left parenthesis 2 right parenthesis squared minus 1 equals space space 3 cross times 4 minus 1 space equals space 12 minus 1 space equals space 11 which space is space required space slope space of space the space tangent space to space the space curve.$

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Application Of Derivatives

Find the slope of the tangent to the curve y = x³ – x at x = 2.

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Application Of Derivatives

Find the slope of the tangent to the curve y = x3 – x at x = 2.

Some More Questions From Application of Derivatives Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Find the slope of the tangent to the curve y = x³ – x at x = 2.