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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E19">Th17</font></span>: <a NAME="T17"><span class="comment"><font color="firebrick">:: TAYLOR_1:17</font></span><br/></a><div class="add">( <a href="sin_cos.html#K22" title="SIN_COS:func.22">exp_R</a> <a href="partfun2.html#K2" title="PARTFUN2:func.2">"</a>  <a href="fdiff_1.html#R2" title="FDIFF_1:pred.2">is_differentiable_on</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <span class="p1">(<span class="default"><a href="sin_cos.html#K22" title="SIN_COS:func.22">exp_R</a> <a href="partfun2.html#K2" title="PARTFUN2:func.2">"</a></span>)</span> &amp; (  for <font color="Olive" title="b1">x</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  st <font color="Olive" title="b1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <span class="p1">(<span class="default"><a href="sin_cos.html#K22" title="SIN_COS:func.22">exp_R</a> <a href="partfun2.html#K2" title="PARTFUN2:func.2">"</a></span>)</span> holds <br/> <a href="fdiff_1.html#K1" title="FDIFF_1:func.1">diff</a> (<span class="p1">(<span class="default"><a href="sin_cos.html#K22" title="SIN_COS:func.22">exp_R</a> <a href="partfun2.html#K2" title="PARTFUN2:func.2">"</a></span>)</span>,<font color="Olive" title="b1">x</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <font color="Olive" title="b1">x</font> ) )</div></div>
