If y = x 5 , t h e n d y d x =? Options: A . &nbsp5x4 B . &nbspx5 C . &nbspx66 D . &nbspnone of these

Answer: Option A : A Given y = x 5 Differentiating both sides w.r.t. 'x', Using d x n d x = n . x n − 1 d y d x = d d x [ x 5 ] = 5 x 5 − 1 = 5 x 4

If y=x5, then dydx=?

Question

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

Options:

A . 5x4

B . x5

C . x66

D . none of these

Answer: Option A
:
A
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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