Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:
The curve \(y=x^{5}-5x^{4}+5x^{3}-1\) on the origin will be
Options:
Maximum
Minimum
Neither maximum nor minimum
None of the above
Correct Answer:
Neither maximum nor minimum
Explanation:
\(\begin{aligned}\frac{dy}{dx}&=5x^{4}-20x^{3}+15x^{2}\\ \frac{d^{2}y}{dx^{2}}&=20x^{3}-40x^{2}+30x\\ \frac{d^{2}y}{dx^{2}}\left|_{x=0}\right.&=0\end{aligned}\)