WebLet a solution y=y(x) of the differential equation x√x2−1dy−y√y2−1dx=0 satisfy y(2)= 2 √3 STATEMENT-1: y(x)=sec(sec−1x− π 6) STATEMENT-2 : y(x) is given by 1 y= 2√3 x −√1− 1 x2 Q. Assertion :Let a solution y=y(x) of the differential equation x√x2−1dy−y√y2−1dx=0 satisfy y(2)=2/√3 y(x)=sec(sec−1x− π 6) Reason: y(x) is given by 1 y= 2√3 x −√1− 1 x2 Q. WebIf sec θ = x + 4 x 1 , then the value of sec θ + tan θ is equal to. Medium. Open in App. Solution. Verified by Toppr. tan 2 θ = sec 2 θ − 1 = (x + 4 x 1 ...

If y = tan^-1 ( 2x/1 - x^2 ) , then find dy/dx - Toppr

Web7 sep. 2024 · The inverse of g(x) = x + 2 x is f(x) = 2 x − 1. We will use Equation 3.7.2 and begin by finding f′ (x). Thus, f′ (g(x)) = − 2 (g(x) − 1)2 = − 2 (x + 2 x − 1)2 = − x2 2. g′ (x) … Web8 apr. 2024 · Solution For Let sin−1(−x)=y, i.e., −x=siny so that x=− Hence sin−1x=−y=−sin−1(−x) Therefore sin−1(−x)=−sin−1x Similarly, we can prove the other parts. 3. (ii) cos−1(−x)=π−cos−1x,x∈[−1,1]. (ii) sec−1(Solution For Let sin−1(−x)=y, i.e., −x=siny so that x=− Hence sin−1x=−y=− ... the saga of mr forgetful quest

If y = sec^-1 (x^2+1x^2-1) then dydx - Toppr

WebClick here👆to get an answer to your question ️ If y = (sin^-1x)^2 , then show that (1 - x^2) d^2ydx^2 - x dydx = 2. Solve Study Textbooks Guides. Join / Login >> Class 12 ... If y = (sin − 1 x) 2, then show that (1 ... If x = 3 tan t y = 3 sec t then find d x 2 d 2 y ... WebLet x be any element of A: then −x ∈ −A, so −x ≤ α (α is an upper bound of −A). Multiplying by −1 we get x ≥ −α; since this holds for any x ∈ A, we get that −α is a lower bound of A. Next we show that −α is the greatest lower bound of A. Let y be any lower bound of A: then ∀x ∈ A, x ≥ y, so −x ≤ −y. Web16 mrt. 2024 · Ex 5.3, 15 - Chapter 5 Class 12 Continuity and Differentiability (Term 1) Last updated at March 16, 2024 by Teachoo. Get live Maths 1-on-1 Classs - Class 6 to 12. … the saga of mr. forgetful genshin quest