Higher Derivatives/Examples
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Examples of Higher Derivatives
Example: $x^4$
Consider the equation:
- $\forall y \in \R: y = x^4$
Then:
\(\ds \dfrac {\d y} {\d x}\) | \(=\) | \(\ds 4 x^3\) | Derivative of Power | |||||||||||
\(\ds \dfrac {\d^2 y} {\d x^2}\) | \(=\) | \(\ds 12 x^2\) | Derivative of Power | |||||||||||
\(\ds \dfrac {\d^3 y} {\d x^3}\) | \(=\) | \(\ds 24 x\) | Derivative of Power |