a:15:{i:0;a:13:{s:2:"id";s:4:"1871";s:4:"name";s:188:"<p>Jeżeli <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=f(x)%3D%5Csqrt%5B3%5D%7Bx%5E2%7D" alt="f(x)=\sqrt[3]{x^2}" /> to:</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"500";}i:1;a:13:{s:2:"id";s:4:"1872";s:4:"name";s:188:"<p>Jeżeli <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=f(x)%3D%5Cfrac%7B1%7D%7Bx%5E5%7D" alt="f(x)=\frac{1}{x^5}" /> to:</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"500";}i:2;a:13:{s:2:"id";s:4:"1873";s:4:"name";s:222:"<p>Jeżeli <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=f(x)%3D%20%5Cfrac%7B1%7D%7B%5Csqrt%5B5%5D%7Bx%5E3%7D%7D" alt="f(x)= \frac{1}{\sqrt[5]{x^3}}" /> to:</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"500";}i:3;a:13:{s:2:"id";s:4:"1874";s:4:"name";s:212:"<p>Jeżeli <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=f(x)%3D%5Cfrac%7Bx%7D%7B%5Csqrt%5B3%5D%7Bx%7D%7D" alt="f(x)=\frac{x}{\sqrt[3]{x}}" /> to:</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"500";}i:4;a:13:{s:2:"id";s:4:"1875";s:4:"name";s:238:"<p>Jeżeli <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=f(x)%3D%5Cfrac%7Bx%20%5Csqrt%7Bx%7D%7D%7B%5Csqrt%5B3%5D%7Bx%7D%7D" alt="f(x)=\frac{x \sqrt{x}}{\sqrt[3]{x}}" /> to:</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"500";}i:5;a:13:{s:2:"id";s:4:"1876";s:4:"name";s:196:"<p>Jeżeli <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=f(x)%3D%5Cfrac%7B2x%2B1%7D%7B3x-2%7D" alt="f(x)=\frac{2x+1}{3x-2}" /> to:</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"500";}i:6;a:13:{s:2:"id";s:4:"1877";s:4:"name";s:200:"<p>Jeżeli <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=f(x)%3D%5Cfrac%7Bx%5E2%7D%7B3%2Bx%5E2%7D" alt="f(x)=\frac{x^2}{3+x^2}" /> to:</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"500";}i:7;a:13:{s:2:"id";s:4:"1878";s:4:"name";s:180:"<p>Jeżeli <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=f(x)%3D%5Csqrt%7B3x%2B2%7D" alt="f(x)=\sqrt{3x+2}" /> to:</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"500";}i:8;a:13:{s:2:"id";s:4:"1879";s:4:"name";s:170:"<p>Jeżeli <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=f(x)%3D(4x%2B3)%5E5" alt="f(x)=(4x+3)^5" /> to:</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"500";}i:9;a:13:{s:2:"id";s:4:"1880";s:4:"name";s:192:"<p>Jeżeli <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=f(x)%3D%5Csqrt%5B3%5D%7Bx%5E2-x%7D" alt="f(x)=\sqrt[3]{x^2-x}" /> to:</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"500";}i:10;a:13:{s:2:"id";s:4:"1881";s:4:"name";s:226:"<p>Dla jakich wartości <em>x</em> pochodna funkcji <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=f(x)%3Dx%5E3-3x%5E2" alt="f(x)=x^3-3x^2" /> ma wartość zero?</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"500";}i:11;a:13:{s:2:"id";s:4:"1882";s:4:"name";s:252:"<p>Dla jakich wartości <em>x</em> pochodna funkcji <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=f(x)%3D%5Cfrac%7B4x%7D%7B1%2Bx%5E2%7D" alt="f(x)=\frac{4x}{1+x^2}" /> ma wartość zero?</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"500";}i:12;a:13:{s:2:"id";s:4:"1883";s:4:"name";s:238:"<p>Dla jakich wartości <em>x</em> pochodna funkcji <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=f(x)%3D%5Csqrt%7Bx%5E3-1%7D" alt="f(x)=\sqrt{x^3-1}" /> ma wartość zero?</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"500";}i:13;a:13:{s:2:"id";s:4:"1884";s:4:"name";s:237:"<p>Dla jakich wartości <em>x</em> pochodna funkcji <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=f(x)%3D3x%5E4-2x%5E3" alt="f(x)=3x^4-2x^3" /> przyjmuje wartości ujemne?</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"500";}i:14;a:13:{s:2:"id";s:4:"1885";s:4:"name";s:259:"<p>Dla jakich wartości <em>x</em> pochodna funkcji <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=f(x)%3D%5Cfrac%7B1%7D%7B1-x%5E2%7D" alt="f(x)=\frac{1}{1-x^2}" /> przyjmuje wartości dodatnie?</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"500";}}