Question

Differentiate y = 3x^2 (1 – 3x)^7​

Answer 1

Answer:

Method 1

y

=

(

3

x

+

1

)

2

Assume the function in the bracket as some other variable say t.

t

=

3

x

+

1

d

t

d

x

=

3

y

=

t

2

d

y

d

x

=

d

y

d

t

⋅

d

t

d

x

=

2

t

⋅

3

d

y

d

x

=

6

(

3

x

+

1

)

Method 2

If you can expand everything and find the derivative

y

=

(

3

x

+

1

)

2

y

=

9

x

2

+

6

x

+

1

d

y

d

x

=

18

x

+

6

d

y

d

x

=

6

(

3

x

+

1

)

Answer 2

Answer:

question is wrong please check the question