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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 ${f'(x) = sec^2(x)\cdot D_x(x)}$

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

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.

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