13:["$","div",null,{"className":"grid gap-4 mb-8","children":[["$","div","a",{"className":"p-4 border-2 border-gray-100 rounded-2xl hover:bg-blue-50 hover:border-blue-200 flex items-center gap-4 cursor-pointer group transition-all duration-300","children":[["$","span",null,{"className":"w-8 h-8 shrink-0 rounded-full bg-gray-100 text-gray-600 flex items-center justify-center font-bold uppercase group-hover:bg-blue-600 group-hover:text-white transition-colors shadow-sm","children":"a"}],["$","div",null,{"className":"text-gray-700 font-medium text-base md:text-lg","children":["$","span",null,{"className":"leading-loose text-gray-800 font-sans","children":[["$","span","0",{"dangerouslySetInnerHTML":{"__html":""},"className":"whitespace-pre-wrap"}],["$","span","1",{"dangerouslySetInnerHTML":{"__html":"

x=1

"},"className":"mx-1"}],["$","span","2",{"dangerouslySetInnerHTML":{"__html":""},"className":"whitespace-pre-wrap"}]]}]}]]}],["$","div","b",{"className":"p-4 border-2 border-gray-100 rounded-2xl hover:bg-blue-50 hover:border-blue-200 flex items-center gap-4 cursor-pointer group transition-all duration-300","children":[["$","span",null,{"className":"w-8 h-8 shrink-0 rounded-full bg-gray-100 text-gray-600 flex items-center justify-center font-bold uppercase group-hover:bg-blue-600 group-hover:text-white transition-colors shadow-sm","children":"b"}],["$","div",null,{"className":"text-gray-700 font-medium text-base md:text-lg","children":["$","span",null,{"className":"leading-loose text-gray-800 font-sans","children":[["$","span","0",{"dangerouslySetInnerHTML":{"__html":""},"className":"whitespace-pre-wrap"}],["$","span","1",{"dangerouslySetInnerHTML":{"__html":"

x=-1

"},"className":"mx-1"}],["$","span","2",{"dangerouslySetInnerHTML":{"__html":""},"className":"whitespace-pre-wrap"}]]}]}]]}],["$","div","c",{"className":"p-4 border-2 border-gray-100 rounded-2xl hover:bg-blue-50 hover:border-blue-200 flex items-center gap-4 cursor-pointer group transition-all duration-300","children":[["$","span",null,{"className":"w-8 h-8 shrink-0 rounded-full bg-gray-100 text-gray-600 flex items-center justify-center font-bold uppercase group-hover:bg-blue-600 group-hover:text-white transition-colors shadow-sm","children":"c"}],"$L16"]}],"$L17"]}]

Q.The function f(x)=∣x+1∣⋅∣x−1∣f(x) = |x+1| \cdot |x-1|f(x)=∣x+1∣⋅∣x−1∣ is differentiable at

Correct Answer: Option C

Unlock Detailed Solution

Q.The function $f(x) = |x+1| \cdot |x-1|$ is differentiable at