Original
Can two different functions, say, {{MATH_149}} and {{MATH_150}}, have the same derivative?
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{{CMD_153}}yes{{CMD_154}}
{{CMD_155}}no{{CMD_156}}
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Many different functions can share the same derivatives.
Consider two different functions, {{MATH_159}} and {{MATH_160}}, defined by{{CMD_161}}
{{MATH_162}} and {{MATH_163}}.
Then, {{MATH_164}}, and {{MATH_165}}, for all real numbers {{MATH_166}}.{{CMD_167}}
So, the derivatives of these two different functions are equal.
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