Question:
Find the second order derivatives of the function.
$x^{20}$
Solution:
Let $y=x^{20}$
Then
$\frac{d y}{d x}=\frac{d}{d x}\left(x^{20}\right)=20 x^{19}$
$\therefore \frac{d^{2} y}{d x^{2}}=\frac{d}{d x}\left(20 x^{19}\right)=20 \frac{d}{d x}\left(x^{19}\right)=20 \cdot 19 \cdot x^{18}=380 x^{18}$