# Find dy/dx, simplifying the coefficients of each term.

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.

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