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`f''(x) = 8x^3 + 5, f(1) = 0, f'(1) = 8` Find `f`.

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gsarora17 eNotes educator | Certified Educator

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Now let's find constant c_1 , given f'(1)=8







Now let's find constant c_2 , given f(1)=0





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scisser | Student

Find the anti derivatives and solve for the constants.


`f'(1)=8` , therefore,



Thus, `f'(x)=2x^4+5x+1`

Do the same thing again


Plug in the point` f(1)=0`