Calculus I

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  • #13244

    Ezra Halleck
    Participant

    Find a and b if equation of tangent line to graph of function at is .

    By working with the original function and its derivative, you can produce a system of 2 equations in the unknowns a and b, which you then solve.

    #16864

    Ezra Halleck
    Participant

    the tangent line share both the slope and the point ( y value).
    f ‘ (x)=4x^3+2 a x
    f ‘ (1)=4+2a=2 (slope for line)
    so a=-1
    f(10)=a+b=5 (y value for line at x=1)
    so b=6

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