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Input x + 2 x Result 3 x Geometric figure line Derivative d/dx(x + 2 x) = 3 Indefinite integral integral 3 x dx = (3 x^2)/2 + constant

Input x sqrt(x) Result x^(3/2) Root x = 0 Derivative d/dx(x sqrt(x)) = (3 sqrt(x))/2 Indefinite integral integral x^(3/2) dx = (2 x^(5/2))/5 + constant Global minimum min{x sqrt(x)} = 0 at x = 0 Series representation x^(3/2) = sum_(n=0)^infinity binomial(3/2, n) (-1 + x)^n for abs(1 – x)