Home
Class 12
MATHS
For x in (0,(5pi)/2) , define f(x)""=int...

For `x in (0,(5pi)/2)` , define `f(x)""=int_0^xsqrt(t)sint"dt"` Then f has : local maximum at `pi` and `2pi` . local minimum at `pi` and `2pi` local minimum at `pi` and local maximum at `2pi` . local maximum at `pi` and local minimum at `2pi` .

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|21 Videos

  • B. Arch 2021 (A)

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|13 Videos

Similar Questions

Explore conceptually related problems

Local maximum and local minimum and condition for it

Let f(x)=sinx-x" on"[0,pi//2] find local maximum and local minimum.

Write True/False: If f'( c )=0 then f(x) has a local maximum or a local minimum at x=c

Find the points of local maxima and local minima,if any,and local maximum and local minimum values of f(x)=2cos x+x , where 0

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)=sin2x, where '0

Let f(x) =x +(1)/(x). find local maximum and local minimum value of f(x) . Can you explain this discrepancy of locally minimum value being greater than locally maximum value.

Let f(x)=x^(3)-3x^(2)+6 find the point at which f(x) assumes local maximum and local minimum.

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