calculus

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Consider the function below.
f(x) = 4x2 - 5x
(a) Find f '(2).


(b) Use the answer in part (a) to find an equation of the tangent line to the parabola y = 4x2 - 5x at the point (2, 6).
y =

  • calculus -

    y = 4 x^2 - 5 x

    y' = 8 x - 5

    at x = 2
    y'(2) = 16-5 = 11

    m = 2
    y = m x + b
    6 = 2 (2) + b
    b = 2
    so
    y = 2 x + 2

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