Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Calculus

Question:

The set of value of k, for which the function $f(x)=kx^3+5$ is decreasing is :

Options:

(0, ∞)

(-∞, 0)

(1, ∞)

(-∞, 1)

Correct Answer:

(-∞, 0)

Explanation:

The correct answer is Option (2) → (-∞, 0)

$f(x)=kx^3+5$

for $f(x)$ to be decreasing, $f'(x)<0$

$⇒k2x^2<0$

$⇒k<0⇒(-∞, 0)$