Question

find the first derivative with respect to x of (sinx)^sinx

Answer 1

Let
\[y= (\sin x)^{\sin x}\]
Take log both sides, what do you get?

Answer 2

@leonasmart !!!

Answer 3

ln(sinx)

Answer 4

\[y= {(\sin x)}^{\sin x}\]
\[\text{Taking log to base e or ln both sides}\]
\[\ln y=\ln {(\sin x)}^{\sin x}\]
\[\text{ We know}\]
\[\ln a^b= b\ln a\]
So
\[\ln y= \sin x\times \ln \sin x\]
Now use multiplication property of differentiation, to find \(\frac{dy}{dx}\)

Answer 5

@leonasmart Do you understand this?

Answer 6

@leonasmart
\[\text{Are you here?}\]

Answer 7

yes am ere

Answer 8

yes am ere

Answer 9

@asnaseer Would you please help on this?
I gotta go now
Sorry @leonasmart

Answer 10

leonasmart: so you understand what ash2326 has said so far?

Answer 11

not really