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Find the function f given that it satisfies f''(x)=36x^2+24x
and its graph has a horizontal tangent line at the point (0,1)
 2 years ago
 2 years ago
Find the function f given that it satisfies f''(x)=36x^2+24x and its graph has a horizontal tangent line at the point (0,1)
 2 years ago
 2 years ago

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Tyler1992Best ResponseYou've already chosen the best response.1
Find the antiderivative 2 times.. So first \[f \prime (x) = 12x^3 + 12x^2 + C\]
 2 years ago

giggles123Best ResponseYou've already chosen the best response.0
f''(x)=3x^4+4x^3+c then what?
 2 years ago

Tyler1992Best ResponseYou've already chosen the best response.1
\[f(x) = 3x^4 + 4x^3 + Cx + D\]
 2 years ago

giggles123Best ResponseYou've already chosen the best response.0
Question is how do I find D?
 2 years ago

Tyler1992Best ResponseYou've already chosen the best response.1
We need to find what Cx and what D is.. Im trying to think how to do that
 2 years ago

Tyler1992Best ResponseYou've already chosen the best response.1
Right which would make Cx = 1
 2 years ago

Tyler1992Best ResponseYou've already chosen the best response.1
So we have \[f(x) = 3x^4 + 4x^3 + x + D\]
 2 years ago

Tyler1992Best ResponseYou've already chosen the best response.1
I ment it would make C = 1.. not Cx
 2 years ago

giggles123Best ResponseYou've already chosen the best response.0
if you do that you graph does not have a horizontal tangent line at (0,1) So c=1
 2 years ago

giggles123Best ResponseYou've already chosen the best response.0
Thank you thou but I think I new how to do it.
 2 years ago
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