FUN-3.F—Determine higher order derivatives of a function
Syllabus
2020
Objective
—
Level
—
FUN-3.F—Determine higher order derivatives of a function
FUN-3.F Determine higher order derivatives of a function.
FUN-3.F.1 Differentiating f′ produces the second derivative f″, provided the derivative of f′ exists; repeating this process produces higher-order derivatives of f.
FUN-3.F.2 Higher-order derivatives are represented with a variety of notations. For y = f(x), notations for the second derivative include d²y/dx², f″(x), and y″. Higher-order derivatives can be denoted dⁿy/dxⁿ or f⁽ⁿ⁾(x).
Enduring understanding FUN-3: Recognizing opportunities to apply derivative rules can simplify differentiation.