what is the derivative of (5x^(2)-4)/2xsqrt(x) ?

Question

what is the derivative of (5x^(2)-4)/2xsqrt(x)  ?

anonymous · Answer

$$(5x^2-4)\div(2x \sqrt{x})dx$$

anonymous · Answer

ick your math teacher must hate you

anonymous · Answer

actually if it was me, rather than using the quotient rule i would divide each term by 
$$2x^{\frac{3}{2}}$$ and then use the power rule on 
$$\frac{5}{2}x^{\frac{1}{2}}-2x^{-\frac{1}{2}}$$should be straight forward

anonymous · Answer

um, yes. The real question is to use the fundamental theorem of calculus to evaluate the following..
$$\int\limits_{4}^{9}(5x^2-4)\div(2x \sqrt{x})dx$$

anonymous · Answer

oh then forget what i wrote, you don't want the derivative you want the "anti derivativef"

anonymous · Answer

$$\int \frac{5}{2}x^{\frac{1}{2}}-2x^{-\frac{3}{2}}dx$$

anonymous · Answer

now use the power rule backwards to find the anti derivative, plug in the numbers etc

anonymous · Answer

ohhh, well no wonder i wasn't getting the right answer! haha. i'm so new at this, i jumped into calculus without taking any precalculus at all, stupid move on my behalf.

anonymous · Answer

can you show me the steps? i have to do 6 other questions very similar to this, i'm sorry.