Théorème des Accroissements Finis - Fonctions Primitives - 2 Bac SM - [Exercice 11]

In this video, I'll work with you to correct part 3 of the previous assignment, covering exercise 1, which deals with the antiderivatives of a function, and exercise 3, which deals with the Finite Increment Theorem (TAF). This video is intended for second-year baccalaureate students. 💡Remember that it's important to try to work through the exercise before seeing the answer key. ▬▬▬▬▬▬▬ Exercise ▬▬▬▬▬▬▬ Arabic exercise link: https://cutt.ly/Z19VVW3 French exercise link: https://cutt.ly/t191x1a Exercise 1: Determine the antiderivatives of the following functions: ∶ f(x)=1/(√x (1+√x) ) ; g(x)=〖sin^5〗⁡x h(x)=sin⁡(2x)/(1+〖sin^4〗⁡x ) Exercise 2: Let a be a real number and let f and g be two differentiable functions on [a,+∞┤[ such that ∶f(a)=g(a) and (∀x∈[a,+∞┤[) f^'(x)≥g^'(x) Show that ∶(∀x∈[a,+∞┤[) f(x)≥g(x) (T.A.F) 00:31 Exercise statement 01:06 Exercise 1 question 1) 04:46 Exercise 1 question 2) 12:24 Exercise 1 question 3) 14:46 Exercise 2) ▬▬▬▬▬▬▬ BRANCHES CONCERNED ▬▬▬▬▬▬▬ 2nd year Baccalaureate in Science and Mathematics 2nd year Baccalaureate in Science and Mathematics 2nd year Baccalaureate in Science and Mathematics 2nd year Baccalaureate in Science and Mathematics 2nd year Baccalaureate in National Exam ▬▬▬▬▬▬▬ SUBSCRIBE ▬▬▬▬▬▬▬ 💡👉 Subscribe here:    / @mathphys   ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ 🔔 Please click the LIKE button if you enjoy our content, leave a comment, and subscribe to our YouTube channel to receive our new videos. 👉Leave me your questions in the comments section if you don't understand something! 😀 💡Please also remember to SHARE with your friends!!💪💪🔥🔥 ▬▬▬▬▬▬▬ SOCIAL MEDIA ▬▬▬▬▬▬▬   / 536279063660093     / math-phys-112225370317476     / math.phys   ▬▬▬▬▬▬▬ SIMILAR VIDEOS ▬▬▬▬▬▬▬ Finite Increment Theorem - Functions Primitives - 2 Baccalaureate (Science and Mathematics) - [Exercise 11]:    • Théorème des Accroissements Finis - Foncti...   Function Study - Numerical Sequences - 2 Baccalaureate (Science and Mathematics) - [Exercise 30]:    • Etude de Fonction - Suites Numériques - 2 ...   Function Study - Numerical Sequences - 2 Baccalaureate (Science and Mathematics) - [Exercise 29]:    • Etude de Fonction - Suites Numériques - 2 ...   Finite Increment Theorem - TAF - 2 Baccalaureate (Science and Mathematics) - [Exercise 10]:    • Théorème des Accroissements Finis - TAF - ...   Rolle's Theorem - Differentiation - 2 Baccalaureate (Science and Mathematics) - [Exercise 9]:    • Théorème de Rolle - La Dérivation - 2 Bac ...   Finite Increment Theorem - TAF - 2 Baccalaureate (Science and Mathematics) - [Exercise 8] :    • Théorème des Accroissements Finis - TAF - ...   Finite Increment Theorem - TAF - 2 Bac SM - [Exercise 6]:    • Théorème des Accroissements Finis - TAF - ...   The Differentiability of a Function - Differentiability on an Interval - 2 Bac SM - [Exercise 2]:    • La Dérivabilité d'une Fonction - Dérivabil...   Differentiability - Differentiation - Derived Number - 2 Bac SM - [Exercise 1]:    • Dérivabilité - Dérivation - Nombre Dérivé ...   Rolle's Theorem - Differentiation - 2 Bac SM - [Exercise 5]:    • Théorème de Rolle - Dérivation - 2 Bac SM ...   Rolle's Theorem - Differentiation - 2 Bac SM - [Exercise 3]:    • Théorème de Rolle - La Dérivation - 2 Bac ...   Finite Increment Theorem - TAF - nth Root - 2 Bac SM - [Exercise 4]:    • Théorème des Accroissements Finis - TAF - ...   FINITE INCREASE THEOREM TAF - FINITE INCREASE INEQUALITY IAF - 2 BAC SM:    • THÉORÈME DES ACCROISSEMENTS FINIS TAF - IN...   FINITE INCREASE THEOREM TAF - 2 BAC SM - [EXERCISE 2]:    • THÉORÈME DES ACCROISSEMENTS FINIS TAF - 2 ...   ▬▬▬▬▬▬▬▬▬ Video Summary ▬▬▬▬▬▬▬▬▬ • Graphically, the finite increment theorem states that, for any line intersecting a differentiable curve at two points, there exists, between these two points, a tangent parallel to the secant. • For any differentiable function of a real variable, its rate of increase between two values ​​is realizable as the slope of one of the tangents to its graph. • This means that there exists a point where the tangent to the curve y = f(x) is parallel to the line (AB) (see video). • Saying that there exists at least one element where the tangent to the curve is parallel to (AB) is not unique; there can be several. • This theorem is both a generalization and a corollary of Rolle's theorem. • This theorem is used to find simple expressions or to frame a function to calculate its limit. • We'll show you some tips and techniques for calculating an antiderivative. 👉 And you can check out the other videos in this playlist for more exercises on numerical sequences and their applications. YouTube has become a real math site (math fr) for science and science ex students, where there are math courses, online math. In this video, we'll focus on the math course on Rolle's theorems and TAF. ▬▬▬▬▬▬▬▬ KEYWORDS ▬▬▬▬▬▬▬▬ #Finite_Increment_Theorem #antiderivatives #Homework