YESPYQ Start Practice
🛠️ JEE➗ Maths

Let \(x=2\) be a local minima of the function \(f(x)=2 x^4-18 x^2\) \(+8 x+12, x \in(-4,4)\). If \(M\) is local maximum …

Q1

Let \(x=2\) be a local minima of the function \(f(x)=2 x^4-18 x^2\) \(+8 x+12, x \in(-4,4)\). If \(M\) is local maximum value of the function \(f\) in \((-4,4)\), then \(M=\)

[JEE Main 2023, 25 Jan (Shift 1)]

a

\(12 \sqrt{6}-\frac{33}{2}\)

b

\(12 \sqrt{6}-\frac{31}{2}\)

c

\(18 \sqrt{6}-\frac{33}{2}\)

d

\(18 \sqrt{6}-\frac{31}{2}\)

🔒
Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149
← Previous questionNext question →

Practice more JEE Maths PYQs

See every question on Application of Derivatives, or browse the full JEE question bank.

See all questions on Application of Derivatives →