<Dl> <Dd> ∂ f ∂ x = f x = ∂ x f . (\ displaystyle (\ frac (\ partial f) (\ partial x)) = f_ (x) = \ partial _ (x) f .) </Dd> </Dl> <Dd> ∂ f ∂ x = f x = ∂ x f . (\ displaystyle (\ frac (\ partial f) (\ partial x)) = f_ (x) = \ partial _ (x) f .) </Dd> <P> Other notations can be found in various subfields of mathematics, physics, and engineering, see for example the Maxwell relations of thermodynamics . The symbol (∂ T ∂ V) S (\ displaystyle \ left ((\ frac (\ partial T) (\ partial V)) \ right) _ (S)) is the derivative of the temperature T with respect to the volume V while keeping constant the entropy (subscript) S, while (∂ T ∂ V) P (\ displaystyle \ left ((\ frac (\ partial T) (\ partial V)) \ right) _ (P)) is the derivative of the temperature with respect to the volume while keeping constant the pressure P . </P> <P> Higher - order partial derivatives with respect to one variable are expressed as </P>

Give four different notations for the derivative of f with respect to x