use the mean-value theorem to show that if f is continous at x and at x+h and is differentiable between these 2 numbers, then f(x+h) - f(x) = f'(x+ah)h for some number a between 0 and 1.(adsbygoogle = window.adsbygoogle || []).push({});

mvt: if f is diff'ble on (a,b) and continuous on [a,b] then there is at least one number c in (a,b) for which f'(c)=[f(b)-f(a)]/(b-a)

any help will be appreciateddd..i don't know where to start :(

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Proof using mean-value theorem

**Physics Forums | Science Articles, Homework Help, Discussion**