Question

If $y=x^5,then\frac{dy}{dx}$=?

• A. $5x^4$
• B. $x^5$
• C. $\frac{x^6}{6}$
• D. none of these

Answer 1

The correct option is A

$5x^4$

Given $y=x^5$
Differentiating both sides w.r.t. 'x', Using $\frac{d{x}^n}{dx}=n.x^{n-1}$
$\frac{dy}{dx}=\frac{d}{dx}\left[x^5\right]=5x^{5-1}=5x^4$