## chrislb22 3 years ago can someone help me please? Find the derivative of the function s(x) = square root x + 3/square root x

1. chrislb22

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

2. satellite73

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. satellite73

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

4. chrislb22

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

5. chrislb22

is that correct ?^^^

6. satellite73

no

7. satellite73

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

8. satellite73

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

9. chrislb22

so -3/2x-1?

10. chrislb22

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

11. chrislb22

@satellite73

12. chrislb22

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

13. chrislb22

is that correct?