## ChrisV Group Title Find the derivative of the function. sqrt(x) + 1/4(sin(2x)^2) 2 years ago 2 years ago

1. ChrisV Group Title

$\sqrt{x}+1/4\sin(2x)^{2}$

2. ChrisV Group Title

1/2x^-1/2 + 1/2sin(2x) * cos(2x) * 2

3. ChrisV Group Title

$1/\sqrt{x} + \sin(2x)\cos(2x)$

4. KingGeorge Group Title

${d\over dx} \;\;\; \sqrt x+{1\over4}\sin(2x)^2 = {1\over{2\sqrt x}}+ {2\over2}\sin(2x)\cos(2x)$

5. ChrisV Group Title

well the book says

6. KingGeorge Group Title

Remember you're also multiplying the ${1\over \sqrt{x}}$by $$1\over2$$

7. ChrisV Group Title

$1/\sqrt{x} + 2xcos(2x)^{2}$

8. ChrisV Group Title

i mean yes the 1/2

9. ChrisV Group Title

is there an identity that makes it 2xcos(2x)^2

10. KingGeorge Group Title

Not that I know of. Let me see if I can get wolfram to change it.

11. KingGeorge Group Title

Well, when I use wolfram to integrate $${1\over \sqrt{x}}+2x \cos^2 (2x)$$ I don't get the original function back, so I'm thinking the book is wrong.

12. ChrisV Group Title

k i was wondering myself