Calculus I

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  • #13236

    Ezra Halleck
    Participant

    If y=ax+b is the tangent line to the graph of the function y=f(x) at x=x0 then what is the slope of the tangent line to the graph of the function y=f^2(x) at x=x0?
    A chain rule problem. The composition is f with itself.

    #16874

    Ezra Halleck
    Participant

    y’=2f f’
    y'(x0)=2f(x0)f ‘ (x0)
    =2 (ax0+b) a= 2a (ax0+b)

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