Home
Class 12
MATHS
If f'(x)=k(cos x-sinx), f'(0)=3, f((pi)...

If `f'(x)=k(cos x-sinx)`, `f'(0)=3`, `f((pi)/(2))=15`, find f(x)

Text Solution

AI Generated Solution

To solve the problem, we start with the given information: 1. The derivative of the function is given by: \[ f'(x) = k(\cos x - \sin x) \] 2. We also have the conditions: ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Theory Questions|6 Videos
  • INTEGRATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Example For Practice|128 Videos
  • DIFFERENTIATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MCQ|15 Videos
  • LINE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Multiple choice question|9 Videos

Similar Questions

Explore conceptually related problems

If f'(x)=k(cos x-sin x),f'(0)=3 and f((pi)/(2)) find f'(x)

If f'(x)=a sin x+b cos x and f'(0)=4,f(0)=3,f((pi)/(2))=5, find f(x)

If f(x)=cos x+sin x, find f((pi)/(2))

If f'(x)=a sin x+b cos x and f'(0)=4,f(0)=3,f((pi)/(2))=5f(x)

If f(x)=|cos x-sin x|, find f'((pi)/(6)) and f'((pi)/(3))

If f(x)=|cos x-sin x|, find f'((pi)/(6)) andf '((pi)/(3))

If f(x)=cos x+sin x . find f ((pi)/(2)) .

Given f'(x) = (cos x )/( x ), ,f ((pi)/(2)) =a, f ((3pi)/(2))=b. Find the vlaue of the definite integral int _( pi//2) ^(3pi//2) f (x) dx.

Given f'(x)=(cos x)/(x),f((pi)/(2))=a,f((3 pi)/(2))=b Find the value of the definite integral int_((pi)/(7))^((pi)/(2))f(x)dx

If f(x)=|cos x|, find f'((pi)/(4)) and f'((3 pi)/(4))