Question

10. Differentiate
(x3 + sin x)^5 ​

Answer 1

Answer:

y=cosx

3

.sin

2

(x

5

)

Diff 'y' cost x,

dx

dy

=cosx

3

[2sin(x

5

)cos(x

5

)(5x

4

)]

+sin

2

(x

5

)[−sinx

3

(3x

2

)]

dx

dy

=10x

4

sin(x

5

)cos(x

5

)cos(x

3

)

−3x

2

sin(x

3

)sin

2

(x

5

)