Question

$If y = x^{5} then \frac{d y}{d x} =________$

$5 x$
$6 x$
$5 x^{4}$
$5 x^{2}$

Answer: $5 x^{4}$

Solution :-

Given that y = x^{5}

differentiate with respect to $x$ , we get

\begin{aligned} \frac{d y}{d x} & = & \frac{d (x^{5})}{d x} \\ = & 5 \cdot x^{5 - 1} (∵ \frac{d (x^{n})}{d x} = n x^{n - 1}) \\ = & 5 x^{4} \cdot \end{aligned}

So, correct answer is option-3, $\to 5 x^{4}$

#Differentiation #BSEB PYQ 2017 #Mathematics #BSEB PYQs