Higher Derivatives/Examples/x^4

Examples of Higher Derivatives

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

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): derivative
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): derivative