Urgent Calculus Help 2

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Find the equation of the tangent line to the graph of f(x) = 6x ln(x + 4) at x = 2.

  • Urgent Calculus Help 2 -

    dy/dx = 6x d/dx [ln(x+4)]+ 6 ln(x+4)

    = 6 x /(x+4) + 6 ln(x+4)
    so at x = 2
    dy/dx = slope = m = 12/ln(6) + 6 ln (6)

    but ln (6) = 1.79
    so use that to find the slope m

    then we have
    y = m x + b and we know m

    find y at x = 2
    y= 12 (1.79) = 21.5
    so use that
    21.5 = 2 m + b
    we know m, solve for b
    the end

  • Urgent Calculus Help 2 -

    Thank you!

  • Urgent Calculus Help 2 -

    You are welcome.

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