If the functions f(x)=(x³)/3+2 b x+(a x²)/2 and g(x)=(x³)/3+a x+b x², a ≠ 2 b have a common extreme point, then a+2 b+7 is equal to:

Limit, Continuity and Differentiability: JEE Main 2023 Mathematics question

JEE Main 2023 · 30 Jan, Evening shift · Q2675

JEE Main 202330 Jan, Evening shiftMathematicsEasyLimit, Continuity and Differentiability420× since 2002

If the functions

f(x)=\frac{x^3}{3}+2 b x+\frac{a x^2}{2}

and

g(x)=\frac{x^3}{3}+a x+b x^2, a \neq 2 b

have a common extreme point, then

a+2 b+7

is equal to :

JEE Main 2023 · 30 Jan, Evening shift · Q2675

JEE Main 202330 Jan, Evening shiftMathematicsEasyLimit, Continuity and Differentiability420× since 2002

If the functions

f(x)=\frac{x^3}{3}+2 b x+\frac{a x^2}{2}

and

g(x)=\frac{x^3}{3}+a x+b x^2, a \neq 2 b

have a common extreme point, then

a+2 b+7

is equal to :