Calculus

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Find the slope m of the tangent line to the graph of the function at the given point and determine an equation of the tangent line.
f(x) = 7 x - 2 x^2 text( at ) \(-1,-9\)
m =
y =

  • Calculus -

    dy/dx = 7 - 4x
    at (-1,-9)
    dy/dx = m = 7 - 4(-1) = 11
    plug in point
    -9 = 11 (-1) + b
    -9 = -11 + b
    b = 2

  • Calculus -

    For the slope, calculate df/dx at x = -1.

    m = df/dx = 7 - 14x = 21

    y = 21x + b

    -9 = -21 + b
    b = 12
    y = 21x +12

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