-- Database schema
| course : course_id [ INTEGER ] primary_key , name [ TEXT ] , credit [ INTEGER ] , diff [ INTEGER ] | prof : prof_id [ INTEGER ] primary_key , gender [ TEXT ] , first_name [ TEXT ] , last_name [ TEXT ] , email [ TEXT ] , popularity [ INTEGER ] , teachingability [ INTEGER ] , graduate_from [ TEXT ] | RA : student_id [ INTEGER ] RA.student_id = student.student_id , capability [ INTEGER ] , prof_id [ INTEGER ] RA.prof_id = prof.prof_id , salary [ TEXT ] | registration : course_id [ INTEGER ] registration.course_id = course.course_id , student_id [ INTEGER ] registration.student_id = student.student_id , grade [ TEXT ] , sat [ INTEGER ] | student : student_id [ INTEGER ] primary_key , f_name [ TEXT ] , l_name [ TEXT ] , phone_number [ TEXT ] , email [ TEXT ] , intelligence [ INTEGER ] , gpa [ REAL ] , type [ TEXT ] |
-- -- Mention the names and credits of course registered by the students who were under the supervision of female professor with the highest teaching ability.

SELECT T5.name, T5.credit FROM RA AS T1 INNER JOIN prof AS T2 ON T1.prof_id = T2.prof_id INNER JOIN student AS T3 ON T1.student_id = T3.student_id INNER JOIN registration AS T4 ON T3.student_id = T4.student_id INNER JOIN course AS T5 ON T4.course_id = T5.course_id WHERE T2.gender = 'Female' ORDER BY T2.teachingability DESC LIMIT 1;