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September 19, 2014

September 19, 2014

Posted by **jennifer** on Tuesday, October 23, 2007 at 1:57am.

I'm confused because of the exponents rules. please show me the steps in simplifying the exponents then taking the derivative.

- calculus -
**drwls**, Tuesday, October 23, 2007 at 3:07amFirst lets break it up into terms that can be differentiated separately.

(x^2(2+x^1/2))/x^4

=[2x^2 + x^(5/2)]/x^4

= 2x^-2 + x^(-3/2)

Now use the x^n exponent derivative rule

df/dx = -4x^-3 -(3/2)x^(-5/2)

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