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Math Help - Find the tangent line to the graph of f(x) = 3 - 4e^x at x = 0. Is my work correct?

  1. #1
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    Find the tangent line to the graph of f(x) = 3 - 4e^x at x = 0. Is my work correct?

    Question: Find the tangent line to the graph of f(x) = 3 - 4e^x at x = 0.

    My work:
    dy/dx = -4e^x
    Slope at x = 0 is m = -4
    Tangent line equation:
    T(x) = -1 - 4 (x - 0)

    Is this correct?
    Any help is appreciated
    Last edited by mr fantastic; October 21st 2010 at 06:43 PM. Reason: Edited title.
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  2. #2
    MHF Contributor Unknown008's Avatar
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    Seems correct to me

    You can simplify to:

    T(x) = -1 -4x
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