Applications Of Derivatives Question 334

Question: The function $ x^{4}-4x $ is decreasing in the interval

Options:

A) [-1, 1]

B) $ (-\infty ,1) $

C) $ [1,+\infty ) $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

Let $ f(x)=x^{4}-4x\Rightarrow f’(x)=4x^{3}-4 $

So, $ 4x^{3}-4<0 $ or $ x^{3}<1 $

Hence function of decreasing in $ (-\infty ,1) $ .