Can two different functions, say, {{MATH_149}} and {{MATH_150}}, have the same derivative? {{CMD_151}} {{CMD_152}} {{CMD_153}}yes{{CMD_154}} {{CMD_155}}no{{CMD_156}} {{CMD_157}} {{CMD_158}} 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. {{CMD_168}} {{CMD_169}} {{CMD_170}}