## anonymous 3 years ago can someone help me please? Find the derivative of the function s(x) = square root x + 3/square root x

1. anonymous

$\sqrt{x} + 3/\sqrt{x}$

2. anonymous

you should memorize the derivative of $$\sqrt{x}$$ because it is a very common function the derivative of $$\sqrt{x}$$ is $$\frac{1}{2\sqrt{x}}$$

3. anonymous

as for $$\frac{3}{\sqrt{x}}$$ you can rewrite it as $$3x^{-\frac{1}{2}}$$ and use the power rule

4. anonymous

$1/2\sqrt{x} - 3x^-1/2$

5. anonymous

is that correct ?^^^

6. anonymous

no

7. anonymous

the first part is right, you still have to take the derivative of $3x^{-\frac{1}{2}}$ using the power rule

8. anonymous

i just rewrote it in exponential form, you still have to find the derivative

9. anonymous

so -3/2x-1?

10. anonymous

$\frac{ -3 }{ 2 }x^1$

11. anonymous

@satellite73

12. anonymous

@satellite73 $\frac{ 1 }{ 2 }\sqrt{x}+ -3/2x ^{-1}$

13. anonymous

is that correct?