Home
Class 11
MATHS
if f(x) = sqrt(1-sin2x), then f'(x) is e...

if f(x) = `sqrt(1-sin2x),` then f'(x) is equal to

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

If f(x)=sqrt(1-sin2x) , then f^(prime)(x) is equal to (a) -(cosx+sinx) ,for x in (pi/4,pi/2) (b) cosx+sinx ,for x in (0,pi/4) (c) -(cosx+sinx) ,for x in (0,pi/4) (d) cosx-sinx ,for x in (pi/4,pi/2)

If f(x) = sqrt(1-sqrt1-x^2 , then at x = 0

If f^(prime)(x)=1/(-x+sqrt(x^2+1)) and f(0)=(1+sqrt(2))/2 then f(1) is equal to- (a) log"(sqrt(2)+1) (b) 1 (c) 1+sqrt(2) (d) none of these

If f(x) is a polynomial satisfying f(x)f(1//x)=f(x) +f(1//x) and f(3)=28, then f(4) is equal to

find dy/dx , (sqrt((1-sin2x)/(1+sin2x))) is equal to, 0ltxltpi/2

For x in RR - {0, 1}, let f_1(x) =1/x, f_2(x) = 1-x and f_3(x) = 1/(1-x) be three given functions. If a function, J(x) satisfies (f_2oJ_of_1)(x) = f_3(x) then J(x) is equal to :

If f(x)=log|2x|,x!=0 then f'(x) is equal to

Let f be a differentiable function such that f(1) = 2 and f'(x) = f (x) for all x in R . If h(x)=f(f(x)) , then h'(1) is equal to

If f(x)= sin^(-1) ((x^(2))/(sqrt(x^(4)+16))) then 17f'(1) is equal to

If the function f: R to R is defined by f(x)=x^(2)-6x-14 , then f^(-1)(2) is equal to -

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. If u=f(x^3),v=g(x^2),f^(prime)(x)=cosx ,a n dg^(prime)(x)=sinx ,t h e ...

    Text Solution

    |

  2. If f^(prime)(x)=sqrt(2x^2-1) and y=f(x^2),t h e n(dy)/(dx) at x=1 is ...

    Text Solution

    |

  3. if f(x) = sqrt(1-sin2x), then f'(x) is equal to

    Text Solution

    |

  4. If x=tcost ,y=t+sint . Then (d^2 x)/(dy^2)at t=pi/2 is (a)(pi+4)/2...

    Text Solution

    |

  5. If x^3+3x^2-9x=c is of the form (x-alpha)^2(x-beta) , then c is equal ...

    Text Solution

    |

  6. If y=f(x) is an odd differentiable function defined on (-oo,oo) such t...

    Text Solution

    |

  7. f^(prime)(x)=phi(x) and phi^(prime)(x)=f(x) for all x. Also,f(3)=5 and...

    Text Solution

    |

  8. Match the value of x in column II where derivative of the function in ...

    Text Solution

    |

  9. If y=cos^(-1)((2x)/(1+x^2)),t h e n(dy)/(dx)i s (-2)/(1+x^2) for all ...

    Text Solution

    |

  10. Each question contains statements given in two columns which have to...

    Text Solution

    |

  11. Suppose the function f(x) satisfies the relation f(x+y^3)=f(x)+f(y^3)d...

    Text Solution

    |

  12. If for some differentiable function f(alpha)=0a n df^(prime)(alpha)=0,...

    Text Solution

    |

  13. Statement 1: If differentiable function f(x) satisfies the relation f(...

    Text Solution

    |

  14. Let alpha be a repeated root of a quadratic equation f(x)=0a n dA(x...

    Text Solution

    |

  15. If y={(log)(cosx)sinx}{(log)(sinx)cosx}^(-1)+sin^(-1)((2x)/(1+x^2)),fi...

    Text Solution

    |

  16. find dy/dx ,(sqrt((1-sin2x)/(1+sin2x))) is equal to, 0ltxltpi/2

    Text Solution

    |

  17. If y=(x+sqrt(x^2+a^2))^n ,t h e n(dy)/(dx) is (a)(n y)/(sqrt(x^2+a^2...

    Text Solution

    |

  18. If f(x)=sqrt(1+cos^2(x^2)),t h e nf^(prime)((sqrt(pi))/2) is (a) (sqrt...

    Text Solution

    |

  19. d/(dx)(cos^(-1)sqrt(cosx)) is equal to (a)1/2sqrt(1+s e cx) (b) sq...

    Text Solution

    |

  20. If f(0)=0,f^(prime)(0)=2, then the derivative of y=f(f(f(x))) at x=0 i...

    Text Solution

    |