AP

MATHEMATICS · Multi-part · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

If y=x+[x]y = x + [x] , then (1) Statement I dydx=1\frac{dy}{dx} = 1 for all x∈Rx \in R (2) Statement II d([x])dx={0,x∉Integerdoes not exist,x∈Integer\frac{d([x])}{dx} = \begin{cases} 0, & x \notin \text{Integer} \\ \text{does not exist}, & x \in \text{Integer} \end{cases}

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