Question

differentiate log(x^2+1)​

Answer 1

Answer:

Let, y=x

2

and z=logx. We are to find

dz

dy

.

This gives

dx

dy

=2x and

dx

dz

=

x

1

.

Now

dz

dy

=

dx

dz

dx

dy

=2x

2

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Answer 2

Answer: 2x / x^2 + 1

Explanation:

Using the chain rule and the standard derivative