2 answers

d^2y/dx^2 = 12 x^2 + 12 x  2
dy/dx =  4 x^ 3 + 6 x^2  2 x + c
at = 0 dy/dx = 14 so c = 14
dy/dx =  4 x^ 3 + 6 x^2  2 x + 14
y =  x^4 + 2 x^3  x^2 + 14 x + d
at 0 , y = d = 9
so
y =  x^4 + 2 x^3  x^2 + 14 x + 9 👍
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answered by Damon 
almost the same as
https://www.jiskha.com/display.cgi?id=1525996280
keep integration to go from f''(x) to f'(x) to f(x)
make sure you find the value of the constant in each step 👍
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answered by Reiny
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