Q. 53.7( 3 Votes )

# Find the derivation of each of the following from the first principle:

x^{8}

Answer :

Let f(x) = x^{8}

We need to find the derivative of f(x) i.e. f’(x)

We know that,

…(i)

f(x) = x^{8}

f(x + h) = (x + h)^{8}

Putting values in (i), we get

[Add and subtract x in denominator]

= 8x^{8-1}

= 8x^{7}

Hence, f’(x) = 8x^{7}

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