# What is the derivative of tan^{2}x?

Differentiation means finding the derivative which is the process of finding the instantaneous rate of change of a function.

## Answer: The value when we differentiate tan^{2}x is 2 tanx sec^{2}x.

Let's understand the steps to solve the given question.

**Explanation:**

According to the rules of differentiation, d/dx(x^{n}) = nx^{n-1}

According to the chain rule,

dy/dx=f'(g(x)) × g'(x)

Thus, d/dx(tan^{2}x) = 2 tan x d/dx(tan x) ----------------- (1)

We know that, d/dx (tan x) = sec^{2}x

Substituting in (1) we get,

d/dx(tan^{2}x) = 2 tanx sec^{2}x

### Thus, the value when we differentiate tan^{2}x is 2 tanx sec^{2}x.

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