अंतराल (Intervel)

The number of points where the curve y=sin x+(1)/(2)sin2x+(1)/(4)sin4x has a horizontal tangent in the intervel (0,pi) is

The number of points where the curve y=sin x+(1)/(2)sin2x+(1)/(4)sin4x has a horizontal tangent in the intervel (0,pi) is

The number of points where the curve y=sin x+(1)/(2)sin2x+(1)/(4)sin4x has a horizontal tangent in the intervel (0,pi) is

The number of points where the curve y=sin x+(1)/(2)sin2x+(1)/(4)sin4x has a horizontal tangent in the intervel (0,pi) is

A differential equation of the form dy/dx+Py=Q is said to be a linear differential equation. Integrating factor of this differential equation is e^int Pdx and its solution is given by y.e^(int Pdx)=int (Qe^(int Pdx))dx+c . Answer the question:Let f(x) be a differentiable function in intervel (0, oo) such that f(1)=1 and lim_(trarrx) (t^2f(x)-x^2f(t))/(t-x)=1 for all x gt 0 . Then f(x) = (A) 1/(3x)+(2x^2)/3 (B) -1/(3x)+(4x^2)/3 (C) -1/x+2/x^2 (D) 1/x

set of values of m for which a chord of slope m of the circle x^(2)+y^(2)=4 touches parabola y^(2)=4x, may lie in intervel

वास्तविक संख्याओं के उपसमुच्चय |अंतराल |विवृत्तअंतराल (खुला अंतराल)|संवृत्तअंतराल (बंद अंतराल)|अर्द्ध संवृत्तअंतराल या अर्द्ध विवृत्त अंतराल |उदाहरण |घात समुच्चय |OMR|Summary

Rolle's theorem is not applicable for the function f(x)=|x| in the intervel [-1,1] because

Let [] represents the greatest integer function and [cos^(-1)sin^(-1)tan^(-1)x]=1 then 'x' lies in the intervel.

The number of distinct solutions of the equation (5)/(4)cos^(2)2x+cos^(4)x+sin^(4)x+cos^(6)x+sin^(6)x=2 in the intervel [0,2 pi] is