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anonymous
 4 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)
anonymous
 4 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)

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Find the antiderivative 2 times.. So first \[f \prime (x) = 12x^3 + 12x^2 + C\]

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[f(x) = 3x^4 + 4x^3 + Cx + D\]

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0We need to find what Cx and what D is.. Im trying to think how to do that

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Right which would make Cx = 1

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So we have \[f(x) = 3x^4 + 4x^3 + x + D\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I ment it would make C = 1.. not Cx

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

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