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anonymous
 4 years ago
Find the values of x for all points on the graph of f(x)=x^32x^2+5x16 at which the slope of the tangent line is 4.
anonymous
 4 years ago
Find the values of x for all points on the graph of f(x)=x^32x^2+5x16 at which the slope of the tangent line is 4.

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Take the derivative, set it equal to 4, then solve for x.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0The 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?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0solve the resulting quadratic equation for \(x\)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[3x^24x+5=4\] \[3x^24x+1=0\] etc

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i 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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0@satellite73 is helping you the way I would've.
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