Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

The interval where the function $f(x)=2x^3-9x^2+12x+15$ is decreasing, is :

Options:

[1, 2]

(-∞, 1] ∪ [2, ∞)

(-∞, 2)

(2, ∞)

Correct Answer:

[1, 2]

Explanation:

The correct answer is Option (1) → [1, 2]

$y=2x^3-9x^2+12x+15$

$\frac{dy}{dx}=6x^2-18x+12=0⇒x^2-3x+2=0$

$⇒(x-2)(x-1)=0$

so $x=1,2$

using wavy curve method

f(x) is decreasing in [1, 2]