Question

ᴄʟᴀss 11 _ᴘʜʏsɪᴄs_ᴄᴀʟᴄᴜʟᴜs

$If \:y = 2 In(sinx), \: then \: \frac{dy}{dx} = \: \: ?$
⚠️No SpAm​

Answer 1

☆rules:-

1. first differentiate the lnx....that will be 1/x
2. then differentiate the x
3. put the constant outside of differentiation
4. you ll get the answer

see the attachment!!

hope it helps..

Good luck ♧♧

Answer 2

Answer:

Heya!

0

Explanation:

$y = f \: (sin \: x) \\ \frac{dy}{dx} = f \: (sin \: x) \times \frac{d}{dx} = sin \: x$

$\frac{dy}{dx} = f \: (sin \: x) \times cos \: x \\ ( \frac{dy}{dx} ) \: \: \frac{\pi}{2} = f \: (1) \times cos \: \frac{\pi}{2} = 0$