Derivative

how quickly the output changes when we move a small distance in input space away from $x$

• Jacobian matrix
• second derivative $f^{\prime \prime }(x)$: how quickly the gradient is changing
• Hessian matrix
• notations
• Lagrange notation: use prime symbol $f^{\prime }$
• Leibniz notation: $\frac{d}{dx}f(x)$

Related

References