1.The left-hand derivative of f(x)=[x]sin(πx)f(x)=[x]\sin(\pi x)f(x)=[x]sin(πx), at x=kx=kx=k, kkk is an integer and [.][.][.] is the greatest integer function, isa.(−1)k(k−1)π(-1)^k(k-1)\pi(−1)k(k−1)πb.(−1)k−1(k−1)π(-1)^{k-1}(k-1)\pi(−1)k−1(k−1)πc.(−1)kkπ(-1)^k k\pi(−1)kkπd.(−1)k−1kπ(-1)^{k-1}k\pi(−1)k−1kπLogin to continueOnly logged in users canattempt or see the solution.