Q. 53.7( 3 Votes )

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

x8

Answer :

Let f(x) = x8

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


We know that,


…(i)


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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