Question

Differentiate
y = xsin⁡x+cos⁡x /(x sin⁡x- cos⁡x )^2
Note;
I WILL MARK AS BRAINLIEST who give right answer

Answer 1

Answer:

Your answer is-

Step-by-step explanation:

Sorry I take time to give your answer

y

'

=

x

cos

x

Use the product rule for

d

(

x

sin

x

)

d

x

:

(

u

v

)

'

=

u

d

v

d

x

+

v

d

u

d

x

Where

u

=

x

and

v

=

sin

x

So

d

(

x

sin

x

)

d

x

=

x

cos

x

+

sin

x

d

x

d

x

=

x

cos

x

+

sin

x

Now

d

(

cos

x

)

d

x

=

−

sin

x

So combining the 2 we get:

d

(

x

sin

x

+

cos

x

)

d

x

=

x

cos

x

+

sin

x

−

sin

x

=

x

cos

x