If _ l = | array lll x & ~b & ~b a & x & ~b a & a & x array | and _ 2 = | array ll x & ~b…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
If \[\Delta_{\mathrm{l}}=\left|\begin{array}{lll}
\mathrm{x} & \mathrm{~b} & \mathrm{~b} \\
\mathrm{a} & \mathrm{x} & \mathrm{~b} \\
\mathrm{a} & \mathrm{a} & \mathrm{x}
\end{array}\right|\] and \(\Delta_{2}=\left|\begin{array}{ll}
\mathrm{x} & \mathrm{~b} \\
\mathrm{a} & \mathrm{x}
\end{array}\right|\) are given, then
- \(\Delta_{1}=3\left(\Delta_{2}\right)^{2}\)
- \(\frac{\mathrm{d}}{\mathrm{dx}} \Delta_{1}=3 \Delta_{2}\)
- \(\frac{\mathrm{d}}{\mathrm{dx}} \Delta_{1}=3\left(\Delta_{2}\right)^{2}\)
- \(\Delta_{1}=3\left(\Delta_{2}\right)^{3 / 2}\)
Answer
(B) d dx _ 1 =3 _ 2
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The value of _ x 2 [1^ 1 / ^ 2 x +2^ 1 / ^ 2 x + +n^ 1 / ^ 2 x ]^ ^ 2 x is
- The function f ( x ) = sin 4 x + cos 4 x increases if
- If P ( x ) is a polynomial of degree less than or equal to 2 and S is the set of all such polynomials so that…
- There exists a function f ( x ) satisfying f (0) = 1, f ′(0) = –1, f ( x ) > 0 for all x and
- Column–I Column–II (A) Lim _ x x 8 x 8 x = (P) 8 (B) Lim _ x 0 [- ^ 2 ] x^ 2 - [- ^ 2 ] x^ 2 ^ 2 (x) = (Q) 2…
- If f(x)= _ x^ 2 ^ x^ 2 +1 e^ -t^ 2 d t then f ( x ) increases in
- Let f : (0, 1) → be the function defined as f ( x ) = [4 x] (x- 1 4 )^ 2 (x- 1 2 ), where [ x ] denotes the…
- For any positive integer n , define f n : (0, ∞) → R as for all x ∈ (0, ∞) Here, the inverse trigonometric…
More Limit, Continuity and Differentiability questions · Browse all practice questions