Differentiation and Integration of Determinants

JEE Main Mathematics · Matrices and Determinants · 3 questions, latest first

• If y(x)= |sin x, cos x, sin x+ cos x+1; 27, 28, 27; 1, 1, 1|, x ∈ R, then (d^2 y)/(d x^2)+y is equal to20253 April, Shift 1 · Q16
• If f(x)= |x^3, 2 x^2+1, 1+3 x; 3 x^2+2, 2 x, x^3+6; x^3-x, 4, x^2-2| for all x ∈ R, then 2 f(0)+f^′(0) is equal to202431 January, Shift 1 · Q3
• If f(x)= |2 cos^4 x, 2 sin^4 x, 3+ sin^2 2 x; 3+2 cos^4 x, 2 sin^4 x, sin^2 2 x; 2 cos^4 x, 3+2 sin^4 x, sin^2 2 x|, then 1/5…202430 January, Shift 1 · Q4