Proving Inequalities Using Monotonicity

JEE Main Mathematics · Applications of Derivatives · 2 questions, latest first

• If the function f(x)=(1/x)^2 x; x>0 attains the maximum value at x=1/e then:20246 April, Shift 2 · Q8
• Let f:[2,4] → R be a differentiable function such that (x log_e x) f^′(x)+( log_e x) f(x)+f(x) ≥ 1, x ∈[2,4] with f(2)=1/2 and…202311 April, Shift 1 · Q10