## anonymous 3 years ago What is the derivative of square root 2x

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1. anonymous

what's another way of writing square root 2x? *hint...think of exponents*

2. anonymous

2x^(1/2)

3. anonymous

Right....now, use the power rule to find the derivative...

4. anonymous

do you get 1/square root (x)

5. anonymous

|dw:1368922493050:dw|

6. anonymous

yeah i got that and then do you get my answer

7. anonymous

after simplifying?

8. anonymous

Is the question (i) $$\int \sqrt{2x} dx$$ or (ii) $$\int 2\sqrt{x}dx$$ ?

9. anonymous

|dw:1369180489303:dw|

10. anonymous

$\frac{ d }{dx }\sqrt{2x}=\sqrt{2}\frac{ d }{dx }\sqrt{x}=\sqrt{2}\frac{ d }{dx }x ^{\frac{ 1 }{2 }}$ $=\sqrt{2}\frac{ 1 }{ 2 }x ^{^{\frac{ 1 }{ 2 }-1}}$ $=\frac{ 1 }{\sqrt{2} }x ^{\frac{ -1 }{2 }}$