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What function would have a derivative of ƒ′(x) = 12x2 + 4x − 10? 

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oyechalphut | Student, Grade 10 | Honors

Posted May 2, 2013 at 2:42 AM via web

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What function would have a derivative of ƒ′(x) = 12x2 + 4x − 10

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jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted May 2, 2013 at 3:23 AM (Answer #2)

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`f'(x) = 12x^2+ 4x − 10`

To get the f(x) we have to integrate this.

`int(f'(x))dx = int (12x^2+4x-10)dx`

`f(x) = int (12x^2+4x-10)dx`

`f(x) = 4x^3+2x^2-10+C` where C is a constant.

 

So the answer is;

`f(x) = 4x^3+2x^2-10+C`

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oyechalphut | Student, Grade 10 | Honors

Posted May 2, 2013 at 2:43 AM (Answer #1)

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12x^2*

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