** Final answer to the problem

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** Step-by-step Solution **

** How should I solve this problem?

- Choose an option
- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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The derivative of the tangent of a function is equal to secant squared of that function times the derivative of that function, in other words, if ${f(x) = tan(x)}$, then ${f'(x) = sec^2(x)\cdot D_x(x)}$

Learn how to solve differential calculus problems step by step online.

$\frac{d}{dx}\left(\frac{x}{2}\right)\sec\left(\frac{x}{2}\right)^2$

Learn how to solve differential calculus problems step by step online. Find the derivative of tan(x/2). The derivative of the tangent of a function is equal to secant squared of that function times the derivative of that function, in other words, if {f(x) = tan(x)}, then {f'(x) = sec^2(x)\cdot D_x(x)}. The derivative of a function multiplied by a constant (\frac{1}{2}) is equal to the constant times the derivative of the function. Divide 1 by 2. The derivative of the linear function is equal to 1.

** Final answer to the problem

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