If f is continuous on [a,b] and differentiable on (a,b), then ∃c∈(a,b) with f'(c) = (f(b)−f(a))/(b−a).
Mean value theorem
Related concepts
- Derivative
- Continuity
- Newton's method
- Rolle's theorem
- Lagrangian mechanics (principle of stationary action)
- VQE: minimise ⟨ψ(θ)|H|ψ(θ)⟩ over a parametric quantum circuit
- Hill full framework: θ(L) = Lⁿ/(Kⁿ + Lⁿ); half-saturation at L = K; Hill slope n/4 at L = K
- Tafel slope b = 2.303·RT/(αF); mechanistic fingerprint
- Catalytic cycles & TOF analysis
- Kasting HZ: r=√(L*/(L_⊙S_eff)); T_eq=T_⊙√(R_⊙/2a)(1−A)^(1/4)
- Therapeutic index: TI = TD50 / ED50; clinical safety-margin metric