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Math Help - Determining the equation of a line perpendicular to the tangent of y=2x-3x^3

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    Determining the equation of a line perpendicular to the tangent of y=2x-3x^3

    Determine the equation of the line that passes through the point (2,2) and is perpendicular to the tangent to y=2x-3x^3 at x=-1.

    To solve this first would I use the difference quotient on y=2x-3x^3 to find the slope of the tangent? And why can't I graph y=2x-3x^3 on my graphing calculator?
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    Quote Originally Posted by kmjt View Post
    Determine the equation of the line that passes through the point (2,2) and is perpendicular to the tangent to y=2x-3x^3 at x=-1.

    To solve this first would I use the difference quotient on y=2x-3x^3 to find the slope of the tangent?

    that would be a good start if you can't take the derivative directly using the power rule.


    And why can't I graph y=2x-3x^3 on my graphing calculator?

    what instructions were you given? is use of a calculator permitted for this problem?
    ...
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