mean value theorem #maths #viral

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[arul_r_learner]

Interpretation of theorem : If you travel between Newyork to Washington and the average speed was 70 km/hr, then definitely at atleast one point, your instant speed would be 70 km/hr

[Maverick]

The Mean-Value Theorem: If f is continuous on a closed interval [a, b] and f is differentiable on (a, b), then there exists a number c in (a, b) such that f'(c) = (f(b) - f(a)) / (b - a)

[adrenaline]

This secant line represents the average change Δγ/Δχ

[spiderjerusalem]

Although derivatives aren't always continuous, they have one property in common witth that of continuity, which is intermediate value property (Darboux's theorem)

[tejaspatel]

The future generations are gonna study like this

[RickGGb]

Let f be a C² function such that f is crossed by the line that unites f(a) to f(b) in f(c) for some c in (a, b).
Show that we have f''(d) = 0 for some d in (a, b).

[fogyx]

Isn't that the calculus definition using tangent?

[mr.dragon.purple]

Why does this value theorem is so mean?😭

[moonowo]

It reminded me of a boat sailing on waves

[mrian]

If f(a) == f(b) we get Rolle theorem which is a special case of Lagrange mvt

[iitJeemains-bbmw]

Actually tomorrow I learned this theory

[DavidRafaelKolar]

I don't understand off any simbols, butt looks amazing that thing, 😂😂❤ (wave sinusoidal 🤔?)

[flarmiks]

Fly over, swim back and forth across the English Channel, you won't find anyone cooler than Joseph Louis Langrange