Math 22 Higher-Order Derivative
Higher-Order Derivatives
The "standard" derivative is called the first derivative of . The derivative of is the second derivative of, denoted by By continuing this process, we obtain higher-order derivative of .
Note: The 3rd derivative of is . However, we simply denote the derivative as for
Example: Find the first four derivative of
1)
Solution: |
---|
f'(x)=4x^3+15x^2-4x |
f(x)=12x^2+30x-4 |
f(x)=24x+30 |
f^{(4)}(x)=24 |
2)
Solution: |
---|
It is better to rewrite |
Then, |
Notes
If is the position function, then is the velocity function and is the acceleration function.
This page were made by Tri Phan