Original
Is it true that for any function {{MATH_128}} the domain of {{MATH_129}} is equal to the domain of {{MATH_130}}?
{{CMD_131}}
{{CMD_132}}
{{CMD_133}}yes{{CMD_134}}
{{CMD_135}}no{{CMD_136}}
{{CMD_137}}
{{CMD_138}}
This is not true.
Consider the function {{MATH_139}}.
The domain of {{MATH_140}} is {{MATH_141}} and the domain of {{MATH_142}} is {{MATH_143}}
This example demonstrates that a function {{MATH_144}} and its derivative, {{MATH_145}}, may have different domains.
{{CMD_146}}
{{CMD_147}}
{{CMD_148}}