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Find the slope of the tangent to the cur...

Find the slope of the tangent to the curve `y = x^3- x at x = 2`.

Text Solution

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`y= 3x^(4) - 4x`
` rArr (dy)/(dx) = 12 x^(3) - 4`
at x = 4
Slope of tangent
` m = 12 (4)^(3) - 4`
` = 786 - 4 = 764`
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Knowledge Check

  • The slope of the tangent to the curve y=x^(3) -x +1 at the point whose x-coordinate is 2 is

    A
    `-11`
    B
    `(1)/(11)`
    C
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    D
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