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grobles27 Group Title

Find the values of x for all points on the graph of f(x)=x^3-2x^2+5x-16 at which the slope of the tangent line is 4.

  • one year ago
  • one year ago

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  1. Brittni0605 Group Title
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    Take the derivative, set it equal to 4, then solve for x.

    • one year ago
  2. grobles27 Group Title
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    The derivative I found is 3x^2 -4x +5. After that I make the whole thing equal to four? Then I would subtract the 5 but after that what?

    • one year ago
  3. satellite73 Group Title
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    solve the resulting quadratic equation for \(x\)

    • one year ago
  4. satellite73 Group Title
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    \[3x^2-4x+5=4\] \[3x^2-4x+1=0\] etc

    • one year ago
  5. satellite73 Group Title
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    i think you are lucky here in that this problem has been cooked so the quadratic factors, but you can always use the quadratic formula to solve any quadratic equation

    • one year ago
  6. Brittni0605 Group Title
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    @satellite73 is helping you the way I would've.

    • one year ago
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