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$\frac{d}{dx}\left(\left(1-x\right)\tan\left(\frac{\pi}{2}x\right)\right)$
Learn how to solve problems step by step online. Find the derivative of (1-x)tan((pix)/2). Simplifying. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. 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 the linear function times a constant, is equal to the constant.