Lagrange mean value theorem ((f(b)-f(a))/(b-a) = f'(c) for some c in (a,b))

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(f(b)-f(a))/(b-a) = f'(c) for some c in (a,b)

What each symbol means

SymbolWhat it stands for
cPoint where tangent parallel to chord joining (a,f(a)), (b,f(b))

When to use this

f continuous on [a,b], differentiable on (a,b). No need f(a)=f(b).