Find the Derivative - d/dx tan(x)^2

Problem

d(tan2(x))/d(x)

Solution

1. Identify the outer and inner functions to apply the chain rule, where the outer function is u2 and the inner function is u=tan(x)

2. Apply the power rule to the outer function, which gives 2*tan(x)

3. Multiply by the derivative of the inner function, which is d(tan(x))/d(x)=sec2(x)

4. Combine the results to find the final derivative.

Final Answer

d(tan2(x))/d(x)=2*tan(x)*sec2(x)

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