# Q in derivative :y= x^2 - 2x + 3 / X^5

#### r-soy

Hi all
Queation say :y= x^2 - 2x + 3 / X^5
I try to solve
y1 = X^2/X^5 - 2x/x^5 + 3 X^5
If this derivative is coorect if yes how i can complet
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#### drumist

Am I writing this correctly?

$$\displaystyle y = \frac{x^2-2x+3}{x^5}$$

If so, then you seem to be on the right track. You can rewrite the function first:

$$\displaystyle y = \frac{x^2}{x^5} - \frac{2x}{x^5} + \frac{3}{x^5}$$

$$\displaystyle = \frac{1}{x^3} - \frac{2}{x^4} + \frac{3}{x^5}$$

In general though, it's easier to calculate this derivative if we move the denominator terms into the numerator, like this:

$$\displaystyle = x^{-3} - 2x^{-4} + 3x^{-5}$$

Can you calculate the derivative now?

#### r-soy

yes thanks my dear