Higher order derivatives  Derivatives
Higher order derivatives
Lessons
Notes:
Note
If $f'(x)$ is the derivative of $f(x)$, then we say that $f"(x)$ is the $2^{nd}$ derivative of $f(x)$. Similarly, $f^{(n)}(x)$ is the $n'th$ derivative of $f(x)$.

2.
$1^{st}$ and $2^{nd}$ derivatives.
Find the first and second derivative for the following functions:

3.
$2^{nd}$ derivatives with implicit differentation
Find $y"$ by implicit differentiation for the following functions:
a)
$x^2+y^2=9$


4.
Derivatives with repeating patterns
Find $f^{(100)}(x)$ for the following functions: