MatteSkolen ordbok Dictionary: Derivative
VG2 ordbok

Dictionary: Derivative

The derivative f'(x) shows the instantaneous rate of change of a function — how quickly y changes at a point.

📅 30. April 2026 👁️ 2 views 📂 ordbok 🇳🇴 Les på norsk
f'(x) = lim[h→0] (f(x+h) - f(x)) / h

In practice we use differentiation rules rather than the definition. The derivative is the slope of the tangent line at the point.

Power rule: (xⁿ)' = n·xⁿ⁻¹

The art of doing mathematics consists in finding that special case which contains all the germs of generality.

— David Hilbert (1862–1943)

Read also

← Back to ordbok Front page →