Given y=x^5 Differentiating both sides w.r.t. 'x', Using dx^n dx=n.x^n 1 dy dx=d dx[x^5]=5x^5 1=5x^4 ...

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Basic Differentiation Rule

If y=x5, then...

Question

If $y = x^{5}, t h e n \frac{d y}{d x}$ =?

$5 x^{4}$

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$x^{5}$

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$\frac{x^{6}}{6}$

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none of these

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Solution

The correct option is A
$5 x^{4}$

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

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