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]

= 8x^8-1

= 8x⁷

Hence, f’(x) = 8x⁷