Cauchy's Mean Value Theorem

[@jenm1]

flawless vid

[@CrazyShores]

Excellent 👍🏼👍🏼👍🏼

[@albinbiju1700]

Thenkz brother, THANKZ

[@erinmeyers-t9w]

Thank you!!

[@yaynea3350]

Thank you

[@ThePlo69]

Thanks!

[@ast-mu6337]

Had fun thank you sir ✨😘🤭

[@ZEPHYRZHANG-mg8zi]

But this proof does not specify that c is inbetween a and b right? I found another one with rolled theorem that accounts for that unless im mistaken.

[@slcmathpc]

Yes, since the parameter values (our curve is parametrized according to x) range between x=a and x=b, it follows naturally that the value of c lies between a and b as the curve is fully traversed by x increasing from a to b. Hope this clears things up!

[@ZEPHYRZHANG-mg8zi]

@@slcmathpc thank you

[@HannahDavies-dp6qn]

in final step, is the tangent line slope calculation mean to say f(x)dx /g(x) dx evaluated at c (not the derivatives) thank you

[@slcmathpc]

It is indeed f'(x)dx/g'(x)dx evaluated at x=c.