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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.
 one year ago
 one year 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.
 one year ago
 one year ago

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Brittni0605Best ResponseYou've already chosen the best response.0
Take the derivative, set it equal to 4, then solve for x.
 one year ago

grobles27Best ResponseYou've already chosen the best response.0
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

satellite73Best ResponseYou've already chosen the best response.1
solve the resulting quadratic equation for \(x\)
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
\[3x^24x+5=4\] \[3x^24x+1=0\] etc
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
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

Brittni0605Best ResponseYou've already chosen the best response.0
@satellite73 is helping you the way I would've.
 one year ago
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