Question
The left hand derivative of $f(x)=[x] \sin (\pi x)$ at $x=k, k$ is an integer, is:(a) $(-1)^{k}(k-1) \pi$(b) $(-1)^{k-1}(k-1) \pi$(c) $(-1)^{k} k \pi$(d) $(-1)^{k-1} k \pi$
Step 1
The left hand derivative of a function at a point is the derivative of the function as we approach the point from the left side. The given function is $f(x) = [x] \sin(\pi x)$, where $[x]$ denotes the greatest integer less than or equal to $x$. We can rewrite Show more…
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