Home
Class 11
MATHS
If f(x)=cosxdotcos2xdotcos4xdotcos8xdotc...

If `f(x)=cosxdotcos2xdotcos4xdotcos8xdotcos16 x ,` then find `f^(prime)(pi/4)dot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

If f(x) = cos x cos 2x cos 4x cos (8x). cos 16x then find f' (pi/4)

If f(x) = cos x cos 2x cos 4x cos (8x). cos 16x then find f' (pi/4)

If f(x) = cos x cos 2x cos 4x cos 8x cos 16x then find f' (pi/4)

If f(x)=|x|^(|sinx|), then find f^(prime)(-pi/4)

If f(x)=|x|^(|sinx|), then find f^(prime)(-pi/4)

If f(x)=|x|^(|sinx|), then find f^(prime)(-pi/4)

Prove that: cosec xdotcosec2xdot sin4xdotcos6xdotcos e c 10 x=(cos3x)/(sin2x\ sin4x)+(cos5x)/(sin4x\ sin6x)+(cos7x)/(sin6x\ sin8x)+(cos9x)/(sin8x\ sin10 x)

If f(x)=|cosx-sinx| ,find f^(prime)(pi/6) and f^(prime)(pi/3)dot

If f is defined by f(x)=x^2, find f^(prime)(2)dot

Let f: Rvec satisfying |f(x)|lt=x^2AAx in R be differentiable at x=0. The find f^(prime)(0)dot

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If y=sqrt((1-x)/(1+x)), prove that (1-x^2)dy/(dx)+y=0

    Text Solution

    |

  2. If g(x)=(f(x))/((x-a)(x-b)(x-c)),where f(x) is a polynomial of degree ...

    Text Solution

    |

  3. If f(x)=cosxdotcos2xdotcos4xdotcos8xdotcos16 x , then find f^(prime)(p...

    Text Solution

    |

  4. f(x)=e^(-1/x),w h e r ex >0, Let for each positive integer n ,Pn be th...

    Text Solution

    |

  5. If ai, bi in N for i 1,2,3, then coefficient of x in the determinant;|...

    Text Solution

    |

  6. If d/(dx)[(x^m-A1x^(m-1)+A2x^(m-2)-.......+(-1)^m Am)e^x]=x^m e^x , f...

    Text Solution

    |

  7. If y= |[sinx,cosx,sinx],[cosx,-sinx,cosx],[x,1,1]|, find (dy)/(dx)

    Text Solution

    |

  8. Let f(x)a n dg(x) be two function having finite nonzero third-order de...

    Text Solution

    |

  9. Differentiate log sinx w.r.t. sqrt(cosx).

    Text Solution

    |

  10. If cosx/2dotcosx/(2^2)dotcosx/(2^3)oo=(sinx)/x , then find the value o...

    Text Solution

    |

  11. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x)w.r.t tan^(-1)x ,w h e r ex!=...

    Text Solution

    |

  12. Find the derivative of f(tan x) w.r.t. g (sec x) at x=(pi)/(4), where ...

    Text Solution

    |

  13. If f(x)=cos^(-1)(1/sqrt(13))(2cosx-3sinx) +sin^(-1)(1/sqrt(13))(2co...

    Text Solution

    |

  14. Find the derivative of tan^(-1)(2x)/(1-x^2) w.r.t sin^(-1)(2x)/(1+x^2)

    Text Solution

    |

  15. If |a1sinx+a2sin2x++ansinn x|lt=|sinx| for x in R , then prove that |...

    Text Solution

    |

  16. Find the derivative of sec^(-1)(1/(2x^2-1)) w.r.t sqrt(1-x^2) at x=1/...

    Text Solution

    |

  17. If y=(1/2)^(n-1)cos(ncos^(-1)x), then prove that y satisfies the diffe...

    Text Solution

    |

  18. If y=f(x^3),z=g(x^5),f^(prime)(x)=tanx ,a n dg^(prime)(x)=secx , then ...

    Text Solution

    |

  19. If x in (0,pi/2),t h e ns howt h a t d/(dx)cos^(-1){7/2(1+cos2x)+...

    Text Solution

    |

  20. If f(x)=|x+a^2a b a c a b x+b^2b c a c b c x+c^2|,t h e n prove that ...

    Text Solution

    |