Home
Class 12
MATHS
If y=cos(sinx^2) then at x=sqrt(pi/2), (...

If `y=cos(sinx^2)` then at `x=sqrt(pi/2), (dy)/(dx)=`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If y=cos(sin x^(2)) then at x=sqrt((pi)/(2)),(dy)/(dx)=

If y=x^(sin x)+ sqrt(x) ,then " at "=(pi)/( 2), (dy)/(dx)=

if y=a cos x+b sin x,y=7sqrt(2),(dy)/(dx)=sqrt(2) when x=(pi)/(4) then find a&b

If y=cot^(-1)[(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))] , where 0lt xlt(pi)/(2), then (dy)/(dx) is equal to

If y=log(sinx-cosx) , then (dy)/(dx) at x=(pi)/(2) is :

If y=|cosx|+|sinx| , then (dy)/(dx)" at "x=(2pi)/(3) is

If y= sqrt(cos x) + sqrt (cos sqrt (x)),then (dy)/(dx)

y(dy)/(dx)sin x=cos x(sin x-(y^(2))/(2)); where at x=(pi)/(2)

If y=|sinx|^(|x|) , then what is the value of (dy)/(dx) at x=-(pi)/(6) ?

If y=cos^(-1)(cos x) then (dy)/(dx) at x=(5 pi)/(4) is (i) 1( ii) -1( iii) (1)/(sqrt(2))( iv) sqrt(2) at x=(5 pi)/(4) is (i)

BANSAL-LIMITS AND DERIVATIVES-All Questions
  1. If y=(x+sqrt(1+x^2))^n then (1+x^2)(d^2y)/(dx^2)+x(dy)/(dx)

    Text Solution

    |

  2. f(x) and g(x) are two differentiable functions in [0,2] such that f"(...

    Text Solution

    |

  3. If y=cos(sinx^2) then at x=sqrt(pi/2), (dy)/(dx)=

    Text Solution

    |

  4. If f(x)=xtan^(-1)x, then f'(1) is equal to

    Text Solution

    |

  5. If f(x)=(log)x(logx) , then f'(x) at x=e is equal to......

    Text Solution

    |

  6. If y=(log)(sinx)(tanx) , then (((dy)/(dx)))(pi//4) is equal to.......

    Text Solution

    |

  7. If x^my^n = (x + y)^(m+n), then (dy/dx)(x=1, y=2) is equal to

    Text Solution

    |

  8. Let f, g and h are differentiable functions. If f(0) = 1; g(0) = 2; ...

    Text Solution

    |

  9. Find the derivative with respect to x of ((log)(cosx)sinx)((log)(sinx)...

    Text Solution

    |

  10. Evaluate: intsin^(-1)((2x+2)/(sqrt(4x^2+8x+13)))dx

    Text Solution

    |

  11. Let f(x) = x^2-4x-3, x > 2 and let g be the inverse of f. Find the val...

    Text Solution

    |

  12. Let f : R -> R be defined as f(x) = x^3 + 3x^2 + 6x-5 + 4e^(2x) and ...

    Text Solution

    |

  13. Suppose f^-1 is the inverse function of a differentiable function f an...

    Text Solution

    |

  14. If y = y(x) and it follows the relation e^(xy) + y cos x = 2, then fin...

    Text Solution

    |

  15. A twice differentiable function f(x)is defined for all real numbers an...

    Text Solution

    |

  16. If x=2cost-cos2t & y=2sint-sin2t , find the value of (d^2y//dx^2) when...

    Text Solution

    |

  17. Find the value of the expression y^3((d^2y)/(dx^2)) on the ellipse 3x^...

    Text Solution

    |

  18. If sqrt(x^2+y^2)=e^(sin^(-1)(y/(sqrt(x^2+y^2)))). Prove that (d^2y)/(d...

    Text Solution

    |

  19. Find a polynomial function f(x) such that f(2x) = f'(x) f ''(x).

    Text Solution

    |

  20. If 2x=y^(1/5)+y^(-1/5) then (x^2-1)(d^2y)/dx^2+xdy/dx=ky , then find t...

    Text Solution

    |