The equation: $5x-7+2x^{-1/2}+3x^{-1}$.

I got $dy/dx=5-x^{-3/2}-3x^{-2}$. Firstly is this correct? But more importantly, what does it mean by simplify the coefficients... are they not already simplified.

It was a 4 mark question and I did it in very few steps leading me to think I have missed something out.

  • 1
    $\begingroup$ You differentiated correctly, and i think simplifing means reducing fractions with common denominators. $\endgroup$
    – John. P
    Feb 19 '18 at 14:33
  • $\begingroup$ @John.P so would you say I have already simplified it? $\endgroup$
    – Ben Hughes
    Feb 19 '18 at 14:35
  • $\begingroup$ Kind of, but I would rather say $\frac{5x^2-\sqrt{x}-3}{x^2}$ would be a little bit nice. $\endgroup$
    – John. P
    Feb 19 '18 at 14:41

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