Find a, b, c, and d such that the cubic function f(x)=ax³+bx²+cx+d satisfies the given conditions. Relative maximum: (3, 5), Relative minimum: (5, 3), Inflection point: (4, 4)
a) a=1,b=−6,c=11,d=−6
b) a=−1,b=6,c=−11,d=6
c) a=1,b=6,c=−11,d=−6
d) a=−1,b=−6,c=11,d=6
