# Find the Derivative f(x) = natural log of 1-x^2

Differentiate using the chain rule, which states that is where and .
To apply the Chain Rule, set as .
The derivative of with respect to is .
Replace all occurrences of with .
Differentiate.
By the Sum Rule, the derivative of with respect to is .
Since is constant with respect to , the derivative of with respect to is .
Since is constant with respect to , the derivative of with respect to is .
Combine fractions.
Combine and .
Move the negative in front of the fraction.
Differentiate using the Power Rule which states that is where .
Combine fractions.
Multiply by .
Combine and .
Combine and .
Move the negative in front of the fraction.
Find the Derivative f(x) = natural log of 1-x^2

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