Q. 53.7( 3 Votes )

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


Answer :

Let f(x) = x8

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

We know that,


f(x) = x8

f(x + h) = (x + h)8

Putting values in (i), we get

[Add and subtract x in denominator]

= 8x8-1

= 8x7

Hence, f’(x) = 8x7

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