Pre Calculus

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Find the Derivative of F(x)=4x2(the previous 2 is squared)-2x

  • Pre Calculus -

    y = 4 x^2 -2 x
    in general derivative of x^n = n x^(n-1) so
    dy/dx = 4 * 2 x^1 - 2 x^0
    which is
    8 x - 2

  • Pre Calculus -

    Now if you have not had that relation you have to do it from the definition
    dy/dx = (y at x+h - y at x) /h as h-->0
    here
    y at x+h = 4 (x+h)^2 - 2 (x+h)
    = 4 x^2 + 8 x h +4 h^2 - 2 x - 2 h

    y at x = 4 x^2 - 2 x

    difference over h = 8 x + 4 h - 2
    as h-->0 that is
    8 x - 2
    as we already knew

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