Question

Differentiate x sin ^ x/ square root 1- x²

Answer 1

Answer:

As  

y

=

x

sin

−

1

x

+

√

1

−

x

2

, is sum of two functions, we can use product rule for first and chain rule for second. Hence,

d

y

d

x

=

x

×

1

√

1

−

x

2

+

1

×

sin

−

1

x

+

1

2

√

1

−

x

2

×

(

−

2

x

)

=  

x

√

1

−

x

2

+

sin

−

1

x

−

x

√

1

−

x

2

=  

sin

−

1

x

Step-by-step explanation: