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    Finding the tangent to a curve. Picture included.

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    Find an equation of the tangent line to the curve
    Y= x3 - 3x2 + 5x

    that has the least slope.

    © BrainMass Inc. brainmass.com March 4, 2021, 5:40 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/finding-the-tangent-to-a-curve-picture-included-5407

    Solution Preview

    Equation of the curve: y = x^3 - 3x^2 + 5x
    The slope m = dy/dx = 3x^2 - 6x + 5
    m = 3x^2 - 6x + 5
    To get the least slope, differentiate it with respect to x and ...

    Solution Summary

    The smallest slope tangent to a line is found. A picture is included.

    $2.49

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