First and Second Derivative Tests

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

• Let f be a differentiable function satisfying f(x)=1-2 x+∫_0^x e^(x-t) f(t) dt, x ∈ R and let…202628 January, Shift 2 · Q25
• Let S=(-1, ∞) and f: S → R be defined as f(x)=∫_-1^x(e^t-1)^11(2 t-1)^5(t-2)^7(t-3)^12(2 t-10)^61 d t, Let p= Sum of squares of…202431 January, Shift 1 · Q25