Application of DerivativeHard
Question
If the point (1, 3) serves as the point of inflection of the curve y = ax3 + bx2 then the value of ′a′ and ′b′ are:
Options
A.a = 3/2 & b = - 9/2
B.a = 3/2 & b = 9/2
C.a = - 3/2 & b = - 9/2
D.a = - 3/2 & b = 9/2
Solution
x = 1 ⇒ 3 = a + b
= 0 ⇒ 3a + b = 0
a = - 3/2, b = 9/2
= 0 ⇒ 3a + b = 0a = - 3/2, b = 9/2
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