Question

find the derivative of : f(x)=2sin(e^x)ln(sqrt(x))

Answer 1

Eww, that's a gross derivative. Know how product rule and chain rule work?

Answer 2

Yes I have the result I would just like someone to compute it to check against/ask why I got something different if that occurred.

Answer 3

All right, give me a minute.

Answer 4

kk ty

Answer 5

2e^x*sin(e^x)*lnsqrt(x)+2sin(e^x)*1/x

Answer 6

Sorry, that should be 1/(2x) at the end.

Answer 7

Is that what you got?

Answer 8

\[sine(e^x)/x + 2\cos(e^x)*e^x*\ln \sqrt{x}\]

is the correct answer

Answer 9

I had forgotten to derive the sin, it's actually 2*e^x*cos(e^x)*ln(sqrt(x))+2*sin(e^x)*1/(2*x)

The answer that you had didn't use chain rule for ln(sqrt(x)), you just took the derivative of ln x.

Answer 10

You do realize log(sqrt(x)) = 1/2log(x)? I simply did some algebra before integration. Nonetheless your 2nd result is the result I posted.

Answer 11

Yeah, you're right.

Answer 12

Thx for the response though sir.

Answer 13

Not a problem.