jee_main_2024_29_jan_morning - Application of Derivatives Topics

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QUESTION #14 Roots of Polynomial Equations
Consider the function f:[(1)/(2),1]arrow R defined by f(x)=4√(2)x³-3√(2)x-1. Consider the statements (I) The curve y=f(x) intersects the x-axis exactly at one point (II) The curve y=f(x) intersects the x-axis at x= (π)/(12) Then
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QUESTION #24 Graphing and Intersections
Let f(x)=2^x-x²,xin R. If m and n are respectively the number of points at which the curves y=f(x) and y=f'(x) intersects the x-axis, then the value of m+n is
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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)

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