Home
Class 12
MATHS
If f(x)=(sin^2x-1)^("n"),"" then x=pi/2 ...

If `f(x)=(sin^2x-1)^("n"),""` then `x=pi/2` is a point of local maximum, if `n` is odd local minimum, if `n` is odd local maximum, if `n` is even local minimum, if `n` is even

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Find the points of local maxima and local minima, if any, and local maximum and local minimum values of f(x)=sin2x , where 0ltxltpi

Find the points of local maxima and local minima, if any, and local maximum and local minimum values of f(x)=sinx-cosx ,where 0ltxlt2pi

Find the points of local maxima and local minima, if any, and local maximum and local minimum values of f(x)=sin2x-x , where -pi/2

Find the points of local maxima and local minima, if any, and local maximum and local minimum values of f(x)=2sinx-x , -pi/2ltxltpi/ 2

Find the points of local maxima or local minima, if any, and local maximum or local minimum values of f(x)=sinx+cosx , where 0

Find the points of local maxima and local minima, if any, and local maximum and local minimum values of f(x)=sin^4\ x+cos^4\ x , 0

Find the points of local maxima or local minima, if any, using first derivative test, and local maximum or local minimum of f(x)=(x-5)^4

Find the points of local maxima or local minima, if any, using first derivative test, and local maximum or local minimum of f(x)=1/(x^2+2)

Find the points of local maxima or local minima, if any, using first derivative test, and local maximum or local minimum of f(x)=x^3-3x

Find the local maximum and local minimumof f(x)=x^(3)-3x in [-2,4].