If y = ( ax + b cx + d ), then 2 dy dx ~d ^ 3 y dx ^ 3 is equal to

Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability

1. \(\left(\frac{d^{2} y}{d x^{2}}\right)^{2}\)
2. \(3 \frac{\mathrm{~d}^{2} \mathrm{y}}{\mathrm{dx}^{2}}\)
3. \(3\left(\frac{\mathrm{~d}^{2} \mathrm{y}}{\mathrm{dx}^{2}}\right)^{2}\)
4. \(3 \frac{\mathrm{~d}^{2} \mathrm{x}}{\mathrm{dy}^{2}}\)

Answer

(C) 3 ( ~d ^ 2 y dx ^ 2 )^ 2

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

• The function f ( x ) = max (1 – x ), (1 + x ), 2 , x ∈(–∞ , ∞), is
• If f ( a ) = 2, f ′ ( a ) = 1, g ( a ) = –1, g ′ ( a ) = 2 then the value of
• If f is a differentiable function satisfying = 0 for all n ≥ 1, n ∈ I , then
• The smallest positive root of the equation, tan x – x = 0 lies in
• Let a , b ∈ R and f : R → R be defined by f ( x ) = a cos(| x 3 – x |) + b | x | sin(| x 3 + x |). Then f is
• _ n 1 n _ r=1 ^ 2 n r n^ 2 +r^ 2
• Let g : R → R be a differentiable function with g (0) = 0, g ′(0) = 0 and g ′(1) ≠ 0 . Let f(x)= array cc x…
• If f (x) = | array ccc x^ n & n! & 2 x & n 2 & 4 x & n 2 & 8 array | then the value of d ^ n dx ^ n [f( x )]_…

More Limit, Continuity and Differentiability questions · Browse all practice questions