Answer
f(x) = $x^{10}$ and a= 1
Work Step by Step
From the definition of derivative,
$\frac{d}{dx}$f(a)= $\lim\limits_{h \to 0}\frac{f(a+h)-f(a)}{h}$.
Comparing the above expression with
$\lim\limits_{h \to 0}\frac{(1+h)^{10}-1}{h}$ we get f(a)= 1= $1^{10}$ and f(a+h)= $(1+h)^{10}$
which implies that f(x)= $x^{10}$ and a= 1
