{"paper":{"id":"site-4933","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"rozszerzona","variant":null,"exam_pdf":null,"key_pdf":null,"question_count":1,"source_label":"Matematyka · Zbiory zadań (rozszerzona)","subject_label":"Matematyka","category_label":"Zbiory zadań"},"questions":[{"id":"site-4933/zad/7223","paper_id":"site-4933","number":"7223","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"rozszerzona","text":"Dana jest funkcja f określona wzorem f(x) = x-8 / x^2+6 dla każdej liczby rzeczywistej x. Oblicz wartość pochodnej tej funkcji w punkcie x=1/2. Zakoduj trzy pierwsze cyfry po przecinku rozwinięcia dziesiętnego otrzymanego wyniku. [rysunek]","answer":null,"answer_text":null,"solution":null,"image":"img/site/4933/zad-7223.svg","solution_image":"img/site/4933/rozw-7223.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (rozszerzona)","subject_label":"Matematyka","category_label":"Zbiory zadań"}]}