Number of Roots of an Equation Using Derivatives

JEE Main Mathematics · Applications of Derivatives · 3 questions, latest first

• Consider the function f:[1/2, 1] → R defined by f(x)=4 √2 x^3-3 √2 x-1. Consider the statements (I) The curve y=f(x) intersects…202429 January, Shift 1 · Q10
• Let f(x)=2^x-x^2, x ∈ R. If m and n are respectively the number of points at which the curves y=f(x) and y=f^′(x) intersect the x…202429 January, Shift 1 · Q24
• The number of points, where the curve y=x^5-20 x^3+50 x+2 crosses the x-axis, is ____.20236 April, Shift 2 · Q24