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

Find the slope of the tangent to the curve `y = 3x^(4) – 4x` at x = 4.

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Knowledge Check

  • If the slope of the tangent line to the curve y= (6)/(x^(2) - 4x + 6 ) at some point on it is zero, then the equation of the tangent is-

    A
    `y=3`
    B
    `2y-1=0`
    C
    `y=2`
    D
    `y+3=0`
  • The slope of the tangent to the curve x= 3t^(2) +1 , y=t^(3)-1 at x=1 is-

    A
    `(1)/(2)`
    B
    0
    C
    -2
    D
    undefined
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    Find the length of the tangent for the curve y=x^3+3x^2+4x-1 at point x=0.

    A curve passes through the point (3,-4) and the slope of the tangent to the curve at any point (x,y) is (-(x)/(y)) . Find the equation of the curve.

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