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

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