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

Oct 2009
290
0
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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Jan 2010
354
173
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?