# How to differentiate log(1 + x + x^{2}) function?

Differentiation is one of the most important concepts in calculus. It is the reverse of integration. The slopes of various curves at different points can be found out using differentiation.

## Answer: The derivative of log(1 + x + x^{2}) function is (2x + 1) / (1 + x + x^{2}).

Let's understand the solution in detail.

**Explanation:**

We know that the derivative of log |x| is 1/x.

Hence, if we have to differentiate log(1 + x + x^{2}), we use the chain rule.

Hence, derivative of log(1 + x + x^{2}) = d { log(1 + x + x^{2}) }/dx . d (1 + x + x^{2})/dx

Therefore, derivative of log(1 + x + x^{2}) = 1 / (1 + x + x^{2}) . (0 + 1 + 2x).

### Hence, The derivative of log(1 + x + x^{2}) function is (2x + 1) / (1 + x + x^{2}).

Math worksheets and

visual curriculum

visual curriculum