JEE Advanced 2017 | Differential Equation PYQ | Maths PYQ | Full Concepts Explain скачать в хорошем качестве

JEE Advanced 2017 | Differential Equation PYQ | Maths PYQ | Full Concepts Explain

If f:R→R is a differentiable function such that f^' (x) 2f(x) for all xϵR,and f(0)=1,then (A) f(x) is increasing in (0,∞) (B) f(x) is decreasing in (0,∞) (C) f(x) e^2x in (0,∞) (D) f'(x) e^2x in (0,∞) JEE Advanced 2017 JEE Advanced 2017 Mathematics | Differential Equation PYQ A very important concept-based question from Differential Calculus (Differential Equation & Growth of Functions) that still repeats in JEE Advanced and top mock tests. Question: If f:\mathbb{R}\to\mathbb{R} is differentiable such that f'(x) 2f(x) for all x \in \mathbb{R} and f(0)=1, then which of the following is/are true in (0,\infty)? This problem tests your understanding of: • Differential inequalities • Comparison with exponential functions • Monotonicity using f'(x) • Standard JEE Advanced tricks involving e^{2x} In this video, I explain the complete concept + short IIT-level approach so that you can solve similar questions in seconds during the exam. 🎯 Why this PYQ is important? Questions based on f'(x) kf(x) and comparison with exponential functions are frequently repeated in JEE Advanced. Mastering this concept can directly help in scoring in Calculus. 👨‍🏫 Taught by: IIT Madras Alumnus | Senior Faculty (Kota) IIT-JEE Maths by AMT Sir Expert Mentorship | Proven Result | Kota Excellence 👍 Like, Share & Subscribe for daily JEE Advanced PYQ solutions and concept boosters.