# Thread: Use the definition of derivative?

1. ## Use the definition of derivative?

Evaluate the following

$
\lim_{h \to 0}
\frac{(2+h)^10 - 2^10}{h}
$

2. $\lim_{h \to 0} \frac{(2+h)^{10}-2^{10}}{h} = \frac{d}{dx} x^{10}$ evaluated at $x=2$

$= 10(2)^{9} = 5120$