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<div><span class="kw">theorem </span><a NAME="T69"><span class="comment"><font color="firebrick">:: DIFF_2:69</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x0</font>, <font color="Olive" title="b2">x1</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  st <font color="Olive" title="b1">x0</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <a href="sin_cos.html#K26" title="SIN_COS:func.26">tan</a> &amp; <font color="Olive" title="b2">x1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <a href="sin_cos.html#K26" title="SIN_COS:func.26">tan</a> holds <br/><span class="p1"><a href="diff_1.html#K9" title="DIFF_1:func.9">[!</a><span class="default"><a href="sin_cos.html#K26" title="SIN_COS:func.26">tan</a>,<font color="Olive" title="b1">x0</font>,<font color="Olive" title="b2">x1</font></span><a href="diff_1.html#K9" title="DIFF_1:func.9">!]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="sin_cos.html#K17" title="SIN_COS:func.17">sin</a> <span class="p2">(<span class="default"><font color="Olive" title="b1">x0</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <font color="Olive" title="b2">x1</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="sin_cos.html#K19" title="SIN_COS:func.19">cos</a> <font color="Olive" title="b1">x0</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p3">(<span class="default"><a href="sin_cos.html#K19" title="SIN_COS:func.19">cos</a> <font color="Olive" title="b2">x1</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p2">(<span class="default"><font color="Olive" title="b1">x0</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <font color="Olive" title="b2">x1</font></span>)</span></span>)</span></div></div>
