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A curve y=f(x) defined for values of x>0 goes through the point (1,0) and is such that the slope of its tangent line at (x, f(x)) is \displaystyle \frac{8}{x^{2}} - \frac{7}{x^{7}}, for x>0.

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Can you repost all similar questions?
Student,
 
This looks like it was copied and pasted from some software.  Please repost in conventional math notation.

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