Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Applications of Derivatives

Question:

If $f(x)=x^5-5x^4+5x^3-10$ has local max. and min. at x = p and x = q, then (p, q) =

Options:

(0, 1)

(1, 3)

(1, 0)

None

Correct Answer:

(1, 3)

Explanation:

$f'(x)=5x^4-20x^3+15x^2=5x^2(x^2-4x+3)=5x^2[(x-3)(x-1)]$

Maximum at 1 and minimum at 3 ⇒ p = 1, q = 3