Web18 jun. 2024 · If x = at^2, y = 2at, then d^2y/dx^2 = askedApr 14, 2024in Derivativesby Ekaa(26.8kpoints) derivatives class-12 0votes 1answer Find d^2y/dx^2, if (i) x = at^2, y … Web14 jul. 2024 · Explanation: We have: x = at2 y = 2at Differentiating wrt t we get: dx dt = 2at dy dt = 2a By the chain rule we have: dy dx = dy/dt dx/dt = 2a 2at = 1 t Differentiating …
Find d²y/dx² if x=2at²/1+t and y=3at/1+t - Brainly.in
WebFind d y dx d 2 y dx 2, if y = 2at, x = at 2 Advertisement Remove all ads Solution x = at 2 Differentiating both sides w.r.t. t, we get dx dt a d dx t a 2t dx dt = a d dx ( t 2) = a ( 2t) ∴ dx dt 2at dx dt = 2at .... (i) y = 2at Differentiating both sides w.r.t. t, we get dy dt 2a d dt t dy dt = 2a d dt ( t) ∴ dy dt dy dt = 2a Web9 aug. 2024 · If x = at2 and y = 2at, find d2y/dx2 at t = 2. differentiation class-12 Share It On 1 Answer +1 vote answered Aug 9, 2024 by Nikunj (39.7k points) selected Sep 12, 2024 by Jagat Differentiating with t Differentiating with respect to x ← Prev Question Next Question → Find MCQs & Mock Test Free JEE Main Mock Test Free NEET Mock Test reactive glass properties
PARTIAL DIFFERENTIATION If u=x^2+y^2 x=at^2 y=2at find …
WebF(x,y,z)=2y \cos(z) i +(e^x) \sin(z)j +x(e^y) k S is the hemisphere (x^2) + (y^2) +(z^2) =9 , __z__ is greater than or equal to __0__,orientated upward. Let b be a constant and let … Web2 sep. 2024 · 4 Answers. but there is a mistake in your nominator. y ′ = 2 ( − 4 x 3 + 3 x 2 + y 2 − 4 x y 2) y ( 8 y 2 + 8 x 2 − 4 x − 1). An alternative way. Set Y = x 2 + y 2, so. then substitute Y ′ in the last expression and, furthermore, substitute Y = x 2 + y 2. The curve for x 2 y 2 ( 2 x 2 2 2 2 is marked in blue in the graph below. WebIf x=at2, y=2at, then dx2d2y is A −t21 B −2at21 C −t31 D −2at31 Medium Open in App Solution Verified by Toppr Correct option is D) We have x=at2,y=2at ⇒dtdx =2at=y,dtdy =2a Thus dxdy =dx/dtdy/dt =y2a ⇒dx2d2y =2a(−y21 )dxdy =2a(−y21 )y2a =−y3(2a)2 =−(2at)3(2a)2 =−2at31 Solve any question of Continuity and Differentiabilitywith:- reactive glass disadvantages