WebApr 7, 2024 · Maxima and Minima Question 2 Detailed Solution Concept: For any function f (x), local minima occur at x = a, if f' (a) = 0 and f'' (a) > 0, and local maxima occur at x = a, if f' (a) = 0 and f'' (a) < 0. Calculation: A function f : (0, π) → R defined by f (x) = sin x + cos 2x Differentiate f (x) with respect to x f' (x) = cos x - 2sin 2x --- (1) WebApr 9, 2024 · JEE Advanced. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket

Stationary point and its nature Critical point Maxima Minima ...

WebMar 30, 2024 · Ex 6.5, 12 Find the maximum and minimum values of 𝑥 + sin 2𝑥 on [0, 2π ] Let f (𝑥)=𝑥 + sin 2𝑥 Finding f’ (𝒙) 𝑓’ (𝑥)=𝑑 (𝑥 + sin 2𝑥)/𝑑𝑥 =1+2 cos2𝑥 Putting f’ (𝒙)=𝟎 1 + 2 cos 2𝑥=0 2 cos 2𝑥=−1 cos 2𝑥= (−1)/2 cos 2𝑥=cos〖2𝜋/3〗 General solution for cos 2𝑥 is 2𝑥=2𝑛𝜋±2𝜋/3 𝑥= (2𝑛𝜋 ± 2𝜋/3)/2 𝑥= nπ ± 𝜋/3 Putting 𝑛=0 𝑥=0 (𝜋)±𝜋/3 =±𝜋/3 " " cos 2𝑥=cos〖2𝜋/3〗 … WebApr 10, 2024 · JEE Advanced. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket birthday gifts for a redhead toddler

Second Derivative Test for Maxima and Minima of …

WebThis video is very useful for all Punjab boards students class 11 and 12th and also for ALevel students. This topic is mostly asked in ppsc, fpsc, nts and ap... WebMar 25, 2024 · CBSE Mathematics Grade 12 Maxima And Minima Answer Find the local maxima and local minima for the given function and also find the local maximum and local minimum f ( x) = x 3 − 6 x 2 + 9 x + 15 . … WebMaxima and Minima Class 12 Local Maxima A function f(x) is said to have local maxima at x = a if there exist a neighbourhood (a – h, a + h) – {a} such that f(a) > f(x) for all x \(\in\) … dan murphy southern comfort