Find d y d x {\textstyle {\dfrac {dy}{dx}}} at the point ( − 1 , 2 ) {\textstyle (-1,2)} if x y = x 3 + y 3 − 9 {\displaystyle xy=x^{3}+y^{3}-9}
A. − 13 {\textstyle -13} , Template:0 B. − 4 {\textstyle -4} , Template:0 C. − 3 13 {\textstyle -{\dfrac {3}{13}}} , Template:0 D. − 1 12 {\textstyle -{\dfrac {1}{12}}} ,
E. − 1 13 {\textstyle -{\dfrac {1}{13}}} , Template:0 F. 0 {\displaystyle 0} , Template:0 G. 1 {\displaystyle 1} , Template:0 H. 1 2 {\textstyle {\dfrac {1}{2}}} , Template:0 I. 4 13 {\textstyle {\dfrac {4}{13}}} , Template:0 J. 8 13 {\textstyle {\dfrac {8}{13}}}