find a function f such that f'(x)=x^{3}and the line x+y=0 is tangent to the graph of f

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- Nov 6th 2012, 01:53 PMpnfullerantiderivatives
find a function f such that f'(x)=x

^{3}and the line x+y=0 is tangent to the graph of f - Nov 6th 2012, 03:10 PMskeeterRe: antiderivatives

... slope of the tangent line is

at the point of tangency ...

finally ...

... solve for C to finish it.