Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Applications of Derivatives

Question:

In the interval [-5, -3], the function $f(x)=(x+1)(x-3)$ is:

Options:

strictly increasing

strictly decreasing

neither increasing nor decreasing

first increasing then decreasing

Correct Answer:

strictly decreasing

Explanation:

The correct answer is Option (2) → strictly decreasing

$f(x)=(x+1)(x-3)$

$f'(x)=x-3+x+1=0⇒x=2$

for $x<2$

f(x) is strictly decreasing

hence for $x∈[-5,-3]$

f(x) is strictly decreasing